I'm interested in the story of DOOM, but it should definitely be an aside, or cleverly tucked away. It just doesn't seem to get on with the arcadey action.
DOOM 3 has unskippable cutscenes, which make a boring game even harder to replay, and the PDAs are just dull.
The codex is a good idea, and I'm interested in the optional monitor videos that id showed off in the stream.
DOOM has some potential for some really good pulp grindhousey sci-fi material, but it should never focus on the story for too long and definitely not make its cutscenes unskippable. They made two DOOM RPGs for mobile phones actually. The sequel that focused around an actual story, supplemented by an optional comic book, ended up worse for wear coincidentally enough.