I'd like to nominate Dave (meta account). He is (from what I can tell) perfectly bilingual in French and English, and has been an active contributor to the site.
Personally I think the answer should be no. This site is about the language and usage of the French language. The only connection the regional languages of France have with standard French (besides ...
Here's a simple solution: put a question mark between parentheses after the word. La porte n'est pas ouverte ; elle est donc close (?).
Even if this isn't made official policy, I will happily downvote anyone who posts things like "Le raccourci oral 'ya' pour 'il y a' est incorrect". :)