You reckon you could even use Github to archive some small things? If Github or GitLab suffers, then some parts of the internet will also have problems, correct?
Legitimately asking, is there any way for Github to go around searching for "no-code" content through countless private repositories?
I don't think Github could read your self-hosted Github instance unless there's some code in there that calls back home or provides home the ability to search code in your instance.
In the beginning, self-hosting was seen as completely local partially because there were no good options for hosting on a server, so that's probably where it sort became synonymous with hosting it in your home.