Setting Life Totals and Lifegain Interactions

I've got a rules question about life effects I'm looking for clarification on. My current understanding is that cards that set your life to a sum like [[Exquisite Archangel]], [[Eternity Vessel]], [[Mr. Negative]] and the like register the difference as lifegain or loss for the purpose of triggers. How does that interact with cards that double lifegain or loss?

https://moxfield.com/decks/nginKtvD-k6alvofBZbvxA

In this deck, I'm running both [[The Wind Crystal]] and [[Selenia, the Cursed Heart]]. If one of them is on the board and I reset my life (in a variety of ways), do they see the lifegain and then double it? If my life total is 6 and I have Eternity Vessel out at 20 and play a land, does The Wind Crystal (or Selenia) see a difference of 14 and then double it to 28, thereby exceeding the amount that Eternity Vessel would restore? Thanks in advance.