That's broad strokes, it's hugely dependent upon what you want. The HD58X is a great set of cans no doubt, they are more like being in a audience, larger sound stage, better imaging but it comes at the cost of clarity. More bump, but less sparkle in ways.
The HD6XX on the other hand is more intimate sounding, like having a private performance, with some real detail retrieval, but they are a very even headphone and some people hate the 'veil'.
For gaming the HD58X are better. For vocal(especially female) heavy or classical type music the HD6XX is better.
If you want a set that shits the bed, then falls out face planting in a puddle of cat piss screams... Beyers are your treat. Most people learn on the V shaped sound reproduction cans. Some people honestly do prefer boosted lows, recessed mids and bumped up highs, nothing wrong with that.
End of rant...
As someone who can't stand sibilance, and it's downright painful, sizzling treble is lithium to my water. -_-