Unless you have a IPS wide gamut monitor AND it has been calibrated then not likely you are going to have accurate colors onscreen.Very well said!
My monitor shouldn't be wonky, it's a brand new fairly high-end laptop so should be good enough.
I'll try and change the color on-screen in ai to the JPSS ICC as you've suggested.
The low end for most of these type is around $500
Maybe 99.9% of consumers don't have these and maybe 90% of desktop imprinters don't have these.
I have one and was calibrated to 97% Adobe RGB 1998 with a cert.
Having said that you can get a Color Munki or other brand setup to calibrate your monitor, even if not a wide gamut IPS you can still improve it.