I don't think so - if your desktop is runing and EmulationStation is also running, then the GPU is clearly supported. Ubuntu 21.10 is quite a recent distribution and the Iris Pro 580 (Skylage generation) is from 2015.
Hmmm. Yes, that's a good point. Well I cant understand why I did the very same steps on both NUCs yet no blank screens on my Gen4. Anyway, its not an issue as I'm not using the Skylake anymore.
Anyway. here is the output from a default core, not sure if it can help you decide what the difference is but Im dropping it here for your review if you have time:
https://pastebin.com/rCm2NDf2