Judging purely from the official descriptions, it seems as though Nightmare and Ethan Must Die (both Vol. 1) are endless modes, while Bedroom (Vol. 1) and Daughters (Vol. 2) have definitive end goals, making them speedrunnable.
The two other modes from Vol 2. are rather vague; Jack's 55th Birthday seems to be some sort of successor to Mercenaries, while 21 is...a card game? I think?
"Deceptively simple at first, this gambling game is the only thing that stands between life and limb for two complete strangers. It’s blackjack with a disturbing twist in Lucas’ special version of the classic card game. The stakes couldn’t be higher, and as the game goes on, new wrinkles are added in the form of trump cards that you can play to improve your odds. It seems like the odds are stacked in favor of the house, so you’ll have to figure out how to swing things in your favor."
So it looks like of those, we'd only add IL categories for Bedroom and Daughters, unless Birthday has some sort of time trial.
