Doom 2 came out almost 20 years ago and I know I'm absolutely expecting people to remember what the cutscenes said, or at least to remember what the gist of it was! Shit, I remember all the cutscenes in Doom 1, too(which I still think is the game with the better level design).
Also, I expect people to not necessarily remember all the levels, but to remember the names of the levels they loved and/or the levels that were total assholes (I'm looking at YOU, Mt. Erebus, Slough of Despair...and basically all of Doom 1 Ep. 4).
Also yes, Doom 4 is supposed to be Doom 2 remade just like Doom 3 was Doom 1 remade. So basically, we should get Doom 3 with different levels and a super shotgun. >_>