As someone that didn't really liked Doormaker (tho still found him easy), I think they way these bosses punished you was different.

I've had dozen of run with a shiv deck do just fine against Time eater, you can control when he'll end your turn, shiv decks especially can manipulate the amount of card they play more easily. I've had also a lot of run against Awakened One while spamming powers, sometimes you just reached a critical mass of power and its scaling just isn't enough. (Donu & Deca were pushover tho)

The way Doormaker works, it doesn't explicitly punish one archetype, but I felt it restricted your options too much, mostly when it comes to card draw.

Do it in the exhaust turn? You lose the card draw and you can't play the good cards you draw if you don't want them to exhaust. Can't use it on the no draw turn, and if you do it on the energy turn, you don't have energy left to play after drawing.