I think it's just a matter of time when the category chronicle game will be officially added into the filters. It kinda misses the purpose to make a category when there is only one game with such mechanism in the market so far.

Because as they stated in the rulebook, the "chronicle" describes the best the element that happens between plays.

There doesn't even have to be a physical journal to write the changes down - the deck of temporarily stored cards is continually raising, changing the main deck the game is played with every other game to follow.

Hm. As the cards are kinda stored in unaccessible vault, maybe a vault game could be another suitable term.

I personally would just call it a legacy game, but I do get what you mean as I always describe it to other people a 'legacy game, but...'.

I'd still call it a legacy game. While legacy games usually involve physically, permanently, altering the pieces, it's not required; just that previous sessions carry some impact over to the next. At least that's what I've seen.

I would say simply adding and removing cards from the game counts as a legacy mechanic, since at any time my copy of Oath is going to play different than your copy based on our play history.

Maybe "legacy-lite"?

Edit: seems the term might be "Fable"? https://boardgamegeek.com/boardgamefamily/44081/series-fable-game-system