You can turn them on, and they will use the wired input but pass it through the nice internal DAC.

That just means your phone's or PC's DAC is crappy compared to the internal one, and any other headphones would sound just as bad.

I have an older pair of JBL E55, which are about 50% cheaper than yours, and on a modern phone they sound slightly better on wire than on wireless, presumably because their internal DAC is mediocre.

I use my xm3 daily and don't notice a difference. I use both methods of connection because sometimes it's quicker to just plug in on some devices, and others it pairs right away. Love these headphones.

Wouldn't wired use the DAC on the device rather than the headphones? I thought the 3.5mm jack carried an analog signal.