I would recommend against wireless as well - latency aside it’s one more step of AD/DA conversion between you and the music, and especially if you’re using a decent recording interface or something else nicer than your computer’s sound card, you’re undoing a lot of that benefit. To be fair, I think this matters more on the way in, when you’re recording track after track that will all be played back together, than on the way out where it’s a single stereo track being converted, but…
I use a set of beyerdynamic DT770s in 250ohm for tracking and mixing, when I’m not using my monitors. They’re EXTREMELY transparent… but not especially musical, the highs are kind of washy to my ears and the bass is very deep but not especially punchy. They’re exceptionally clear, though, and I can latch onto very small EQ tweaks while mixing so even with a decent set of monitors (Yamaha HS80Ms) in at least a partially treated room, I’ll often still reach for these while doing surgical EQ tweaks.
They’re also more comfortable than anything else I’ve tried, for wearing fro several hours at a time - headphones of this style often give me a headache from pressure on the top of my head, these don’t. That matters too.
So, if transparency is your objective, these are at least worth demoing. If musicality is, though… maybe transparency isn’t what you want, and while I don’t know this market at ALL, doing some research into “audiophile” grade headphones designed for listening to music rather than making it might be a good idea. They might not be as flat and transparent, but likely will have their response tweaked in a manner that’s a little more musically pleasing than something reference grade.
On open vs closed back (or half closed, etc), if you’re planning on using them while recording, to track music, then unless you’re doing all direct, all digital, no “in the room” volume, no mics, you want closed back. Opened back are going to be clearer and more accurate, but bleed is far too big a problem, both with sound coming in, and - especially when working with quiet acoustic instruments - sound spilling out into the mics.