In particular, I like the part where you build your deck from a set of themed sub-decks before the start, and then it's up to you to find the synergies between those themes. Not sure if there's an existing term for that mechanic. I think it may count as a form of a deckbuilder, but editing the deck's contents isn't part of the main game loop. Maybe a deck drafter?

I also like that it's a compact card game that doesn't take long to learn or play, and plays well with only 2 players. The only other drafting games I've found have a board, lots of pieces, and are aimed at 4+ players.

Trying to search for games like Compile is a bit difficult, because in the other threads I find, people like to focus on the lane battling aspect, which I could take or leave. I'm mostly interested in compact drafting games for 2p. Anyone know any?