I posed this question two days ago, which effectively asks "Has X hard-to-describe special case on Barnette's Conjecture been proven?". In retrospect, I believe it was a poor question.

What I now think would be better would to be to ask for a list of papers which subcases of Barnette's Conjecture, and then sort through them all on my own, to see if they match watch what I've found. To my knowledge, I've only found two papers which would belong in my list. The rest are either computational results or equivalence results.

Is my second question actually better? If so, should I rewrite my current question, or ask a second one?