I don't know if your ears function like mine, but I also was looking for "an all rounder where I wouldn’t have to apply an EQ", and read a lot of stuff, tried several cans and then bought both the DT 700 X and the Senn HD300 pro.
After a few days of hard listening and A/Bs, the 700 are going back (they were very good in most departments) and I fell in love with the Senn.: perfect and powerful sub-bass, good mids, perfect unfatiguing highs, more than satisfying soundstage, separation and detail (tried with a lot of genres, especially jazz and fusion and very good recordings). And I decided to stop there, or It'd come to a head(phones) of things.
Is it a compromise? Yes, we all know every choice is one, but I felt the HD300 Pro are the best of all good compromises in a decent price range.
That is (stated as a non-obsessed user) if you want to enjoy music.
If you, on the other hand, simply want to enjoy the rabbit hole, then I'm afraid I can't help: there will always be another pair that does one of those things better, but not all of them.