Atheist is along the lines of Progressive Death Metal, but I still have a really hard time lumping them in with those bands. If I had to call them something that's what I would call them... Although they have some Thrash tendencies as well.
I don't think of Cynic as Death Metal at all really. Just Progressive Metal. They're even a bit harder to classify because they just kind of did their own thing.
Death on the other hand are much easier to categorize. True, they've done things differently from time to time, but they just cleaned up their tightness & production more than anything, not that it constitutes better songwriting... I think ITP is the best thing they've ever done, but even that is not Progressive.
I honestly never understood why people call TSoP Progressive... I can't for the life of me figure that one out. To my ears Progressive music shifts direction much more. Even Atheist does the shift thing a lot more. I just think they modernized their Death Metal sound with TSoP, & the outcome was not very good. That album only has a couple of sleeper hits on it & it's not enjoyable all the way through.
TBH I'm surprised as shit that more people didn't pick the no option.