This should be a fairly easy task, and I think the benefit.
It may be favorable to add the full "ulimit -a" considering it would take the same amount of effort.
Long term, there's a good chance that esync is going to be phased out in favor of fsync on Proton's side, futex waitv on the kernel side (5.16 and newer), which makes this less valuable for troubleshooting.
Nothing extracted yet.
Include
ulimit -Hnoutput in system info.This can be useful for sites like protondb to diagnose low limit and esync issues.
Also steam can autodetect low ulimit and warn user.