When to group and when to push as a fed Top? (Emerald 4)

I have two accounts

TOP: Urgot 70%, Illaoi 25%, Mundo 5% (7.9/5.7/4.4, 7.3 CS)

JUNGLE: Urgot 100% (7.8/5.7/4.7, 7.3 CS)

This is mostly a question for Top lane. My laning phase is okay, I am definitely too aggro so I either snowball or fall behind but I like this playstyle.

My mid game is where I’m best, I watch Alois and try to mimic him getting a lot of gold income. No matter how my laning phase goes I always have good gold.

My question is when is it time to stop side laning and group with my team?

In a perfect world I want to push side lanes and get all tier 2s to maximize gold. If there is an obj I push out 1:20 before spawn and want my team to ward so I can TP to obj once they send someone to match me side lane. What usually happens is they fight over nothing and I can’t TP.

So my question is when should I just forget about the side lane and group even though I think it’s losing?

My thoughts:

1. IF IM BEHIND I would just split push, I wouldn’t be helpful in the fight either way, if they send someone to match me it’s always worth, if they don’t send anyone I get free gold and catch up to the rest of the team

2. IF IM AHEAD

a) IF MY TEAM LOVES TO FIGHT, I don’t push out side lanes and group earlier to help secure all objectives.

What do I do if they are just fighting mid all the time for no reason?

b) IF MY TEAM LISTENS TO MY CALLS, I side lane and use my pressure to have 2 of enemy team come to my lane and I walk/TP to objective.