Oh, it's simple. Go play REHD and immediately after go play DMC1 and tell me they're not the same game. They were made around the same time and they follow the Mikami formula, which you'll find in most of his Horror Survival.What do you mean by closer to RE style?
DMC is part of a small trilogy of games from Capcom that have recurring elements as a byproduct of having Resident Evil 4 go through several stages of development and redevelopment. When RE4 became DMC1 they started a new RE4 and they did that like 4 times because they kept not been happy with what they had and so elements of the builds that were unused after the final game's release got put together and with some more additions they released Haunting Ground (Demento), one of the rarest Horror Survival games around.
That's what I want. I think DMC should try for that again, a more 'classic' Capcom style rather than what they're working these days.