If the contributor instructions for your wiki requires:
1. forking the repo
2. committing the changes
3. submitting a pull request
... then you don't have a wiki.
I've been thinking about something in this space, actually... it feels like this is much more a UX/social problem -- in that a wiki can very much be modeled as a repo with a very permissive auto-merge bot (e.g. if PR only touches unprotected pages and user is registered, allow merge)
I find this really annoying too. A wiki is not a knowledge base. For some reason people into LLM's seem to have decided to call things wikis, I am guessing because they want the credibility wikis have.