I feel (to my ears) that all of the flagship headphones (except maybe the Audeze) benefit from a warmer amp. So I would worry about any amp that is bright or even neutral.
If you read any write-up here of the major top phones, brightness is always mentioned (and I agree with this assessment from my own listening).
It seems like the amp and phone makers need to cooperate a little more.
I mean, 10 years ago, the Senn 600/650 was the standard must-own dynamic, but those days are gone, and unless the phones start warming up, I'd get an amp to compensate for that.
(I have a B52.) I kind of miss the little toggle switch high-frequency filter Tyll put on the original HR Max.
OK, maybe the LCD2 and the Edition 8s are not especially bright, but even those benefit with hyped up recordings (and there are way too many of those).