Finally actually got the Amiron Wireless. As a wireless headphone, it is top notch, but I do prefer the sound when wired. I sold my t5p.2 to buy these, and am glad I did. I prefer these as a wired closed back to the T5p.2. Comparing the Home to the wireless, the Home is more detailed and fuller, but I think the difference is primarily open back vs closed back. The Home have a bit more treble extension and a bit wider soundstage, and just have that open sound, as you would expect, but the wireless still sound really good wired, even despite the fact that they come with a garbage cable (anyone have eyes on a 4.4mm cable for these?).
Comparing them to the XM3's, they have a much wider soundstage. The Sony sounds compressed in comparison with med-level tonality. The Amiron wireless are wider with better treble extension, and greater clarity. The Xm3 are bassier, but with EQ on my ZX300, the AW are just fine in the bass department. Great phones.
I also prefer the AW headband and pads to the AH. The AH has jersey-like material, which the AW has microfiber pads (maybe?) and a headband with a woven material on the bottom. In an ideal world, I would swap those on to the home, and then put pleather pads and the DT 1770 head band on the AW. I don't know how to swap the headbands though, so that is probably unlikely, unless I pay a ton of money and send them to custom cans uk, which is unlikely.