To be honest, If I run Death House Im going to recommend that my players playing that keep that character for the Curse of Strahd Hardcover and create a separate character for the AL Scenarios (do you know how hard it is to NOT type Expeditions?). Even though Encounters and Expeditions have gone, My Wed night game will still be my Wed night game, and I have already schedules Suits of the Mist on some Saturdays in March.
Yeah, I was thinking of Death House as 'extra', when it is probably as Kalani suggests, and a necessary part of the Mod if you are starting at 1st level.
If, however, CoS lets you start at level 1, and DH is just an 'extra' low level adventure.... I might sneak it into Expeditions. (I am okay using the word.... )