the second one might as well have been called PART TWO because it's just a direct continuation of the first. I don't think it's different at all. The third is wildly different than the first two. The fourth is even more out there. Going any further than the 4th is an exercise in absurdity.
Hellraiser's presence at HHN is enough to cross-promote and market the game without the house being based off of Revival, though. I have a feeling we're getting the first and second movie and that's it. You don't vie for a white-whale OG classic IP like Hellraiser and then not give us the stuff that's been around the longest and most recognizable to the GP that drives an event like this. The only way i see it being Revival and NOT the movies is if THAT was the only way for them to get around copyright or licensing issues like
@dscott suggested.
For the record, i'm super excited for the game and i plan on buying it and playing it the minute it comes out - but i wouldn't necessarily want to go through a house based off of it before i have the ability to play it and see what it's all about.