Comparing/Contrasting Euron and Victarion's Claim to the Horn (Spoilers Extended)

Background

While originally extremely different, both Euron and Victarion want to obtain dragons for their goals. In this post I thought it would be interesting to compare/contrast what exactly the are up to in the quest to claim the horn/a dragon.

If interested: Comparing/Contrasting the Different Dragonhatching Ritual Sacrifices

"You Must Claim the Horn with Blood"

The reason the horn is so important to them is that seemingly horns have been used to control dragons:

The dragonlords of old Valyria had controlled their mounts with binding spells and sorcerous horns. -ADWD, Daenerys X

and:

You heard its call, and felt its power. ... The dragonlords of old sounded such horns, before the Doom devoured them. With this horn, ironmen, I can bind dragons to my will." -AFFC, The Drowned Man

and:

Who blows the hellhorn matters not. The dragons will come to the horn's master. You must claim the horn. With blood." -ADWD, Victarion I

If interested: Dragonbinder: Claiming the Horn

Sacrifices to the Water

• Euron

“The Crow’s Eye has fed your Drowned God well, and he has grown fat with sacrifice. Words are wind, but blood is power. We have given thousands to the sea, and he has given us victories!” -TWoW, The Forsaken

• Victarion

"With this gift of innocence and beauty, we honor both the gods," he proclaimed, as the warships of the Iron Fleet rowed past the burning ketch. "Let these girls be reborn in light, undefiled by mortal lust, or let them descend to the Drowned God's watery halls, to feast and dance and laugh until the seas dry up."
Near the end, before the smoking ketch was swallowed by the sea, the cries of the seven sweetlings changed to joyous song, it seemed to Victarion Greyjoy. A great wind came up then, a wind that filled their sails and swept them north and east and north again, toward Meereen and its pyramids of many-colored bricks. On wings of song I fly to you, Daenerys, the iron captain thought. -ADWD, Victarion I

Blood/Battle

We see both brothers set to create a bloody naval battle in the Battle of Fire/Blood.

The dreams were even worse the second time. He saw the longships of the Ironborn adrift and burning on a boiling blood-red sea. -TWOW, The Forsaken

• Euron (Battle of Blood)

Euron has his ships set to battle with the Redwyne Fleet/Oldtown:

“We are going back to sea. The Redwyne fleet creeps toward us. The winds have been against them rounding Dorne, but they’re finally near enough to have emboldened the old women in Oldtown, so now Leyton Hightower’s sons move down the Whispering Sound in hopes of catching us in the rear.”

If interested: Euron Greyjoy vs. The Man in the High Castle

• Victarion (Battle of Fire)

Whereas Victarion has his men set to attack the Qartheen Fleet/Slaver Alliance:

With her would sail the other, lesser prizes that the Iron Fleet had taken on its long voyage to Slaver’s Bay, a lubberly assortment of cogs, great cogs, carracks, and trading galleys salted here and there with fishing boats. It was a fleet both fat and feeble, promising much in the way of wool and wines and other trade goods and little in the way of danger. Victarion gave the command of it to Wulf One-Ear. “The slavers may shiver when they spy your sails rising from the sea,” he told him. “but once they see you plain they will laugh at their fears. Traders and fishers, that’s all you are. Any man can see that. Let them get close as they like, but keep your men hidden belowdecks until you are ready. Then close, and board them. Free the slaves and feed the slavers to the sea, but take the ships.

and:

Holy Blood

• Euron

Euron starts collecting priests, for an unknown reason:

In his saner moments, Aeron questioned why the Crow’s Eye was collecting priests, but he did not think that he would like the answer.

and:

“No, I’ll not kill you tonight. A holy man with holy blood. I may have need of that that blood … later. For now, you are condemned to live.”
A holy man with holy blood, Aeron thought when his brother had climbed back onto the deck.

before lashing them to the prows of their ships:

“Your Grace,” said Torwold Browntooth. “I have the priests. What do you want done with them?”
“Bind them to the prows,” Euron commanded. “My brother on the Silence. Take one for yourself. Let them dice for the others, one to a ship. Let them feel the spray, the kiss of the Drowned God, wet and salty.”

• Victarion

While Victarion has sacrificed maidens, maesters (Kerwin) and threatened to kill Moqorro, I am unaware of any attempts to involve holy men in his claim. That said he has Moqorro (who has his own agenda).

If interested: Collecting Priests: "Holy Blood"/Holy Men

King's Blood

• Euron

He has his brother and unborn son lashed to the prow:

Naked as the mouthless maiden, her smooth belly just beginning to swell with the child she was carrying, her cheeks red with tears, she did not struggle as the boys tightened her bonds. Her hair hung down in front of her face, but Aeron knew her all the same.
“Falia Flowers,” he called. “Have courage, girl! All this will be over soon, and we will feast together in the Drowned God’s watery halls.” -TWOW, The Forsaken

• Victarion

While not confirmed to be necessary, I don't see any king's blood (bionic arm maybe?) as part of Victarion's claim.

If interested: King's Blood: Sacrifice & Rituals

Sounding the Horn

• Euron

Euron knew better than to sound the horn himself which is why he had someone else do it at the kingsmoot:

Bitterly Victarion brooded on the treachery of brothers. Euron's gifts are always poisoned. "The Crow's Eye swore this horn would bind dragons to my will. But how will that serve me if the price is death?"
"Your brother did not sound the horn himself. Nor must you." Moqorro pointed to the band of steel. "Here. 'Blood for fire, fire for blood.' Who blows the hellhorn matters not. The dragons will come to the horn's master. You must claim the horn. With blood." -ADWD, Victarion I

and then later gave it to Victarion (Euron's gifts are poison):

Euron was a fool to give me this*, it is a precious thing, and powerful. With this I’ll win the Seastone Chair, and then the Iron Throne. With this I’ll win the world.*

• Victarion

Victarion plans not to sound the horn himself:

“The mute sounded the horn three times. You three will sound it only once. Might be you’ll die, might be you won’t. 

and:

You will sail with me on Iron Victory,” he told them, “but you will not join the battle. Boy, you’re the youngest – you’ll sound the horn first. When the time comes you will blow it long and loud. They say you are strong. Blow the horn until you are too weak to stand, until the last bit of breath has been squeezed from you, until your lungs are burning. Let the freedmen hear you in Meereen, the slavers in Yunkai, the ghosts in Astapor. Let the monkeys shit themselves at the sound when it rolls across the Isle of Cedars. Then pass the horn along to the next man. Do you hear me? Do you know what to do?”

but it should be noted that he might end up doing it himself:

He brushed his hand across one of the red gold bands and the ancient glyph seemed to sing beneath his fingertips. For half a heartbeat he wanted nothing so much as to sound the horn himself.

and after he keeps it with him:

They left him one by one. The three thralls, and then Moqorro. Victarion would not let him take the hell-horn.
“I will keep it here with me, until it is needed.”

and we know from the second half of the chapter:

• After he shows the horn to the three deckhands, the dusky woman bleeds his wounded hand/arm into a bowl. Then Victarion takes that blood and rubs it into the horn and murmurs to it softly "My horn...dragons..."

If interested: Revisiting the Victarion Fragment

TLDR: Both Victarion and Euron (and maybe even Moqorro) have a claim to be considered the horn's "master". Just a quick post comparing and contrasting their claims.