It's not self hosting. It's can I run the build from my local command line and get the same results.
However, as of v16 there is no more exec https://gitlab.com/gitlab-org/gitlab/-/issues/385235 which I guess is good and bad. Good in that it not longer sets improper expectations that it could have plausibly done anything, and bad in that now it joins GitHub Actions[1] in not having any _local_ test strategy aside from "boot up gitlab/gitlab-ce && echo good luck"
1: yes, I'm acutely aware of the 3(?) implementations/forks of nektos/act that claim to do GHA but, again, readme is not software and I can tell you with the utmost certainty they do not do as advertised