That sounds like it could absolutely be a kin adjacent alterhuman thing. Some ideas that come to mind you could look into:

Hearthome (heart home): an experience like a hearttype but instead of being connected to a person/character, you’re connected to a place or world.

Parallel lives: a fictionkin and otherkin experience where instead of your kintype being the result of a past life, it is the result of experiencing your own current existence simultaneous to this one but in another world.

General past life experience: it could be nostalgia for a prior existence, as Egon Spengler famously said “past life experience intruding on present time”.