Not likely to, no. It might, depending on how distorted the GoXLR’s head-out is, but pretty much any clean source will do the trick.
You might get some people telling you how much sources affect the sound; It’s pure punk. Modern amps and DACs are very good, and they all do the job they’re designed to.
Unless you’re looking for esoteric stuff like R2R or Tubes, expect to hear nothing different. Unless you really expect it, then placebo and expectation bias will kick in to change things up. Hell, even a 0.5 dB volume difference can make you prefer one over the other.
TL;DR, if you have a good clean source, which is very easy to get these days, expect it to sound the same as all the other good clean sources.
I don’t see what’s wrong with what he said. I’d rather own a very expensive, low-distortion headphone with extremely good technicalities that I can EQ to my liking whenever I want, than 5 mid headphones that sound different.
In fact I’ve done this, with the time I spent with an Arya. Worked utterly wonderfully.