In my experience maintaining software, raising the bar to report bugs is a really bad idea. 99.9% of your customers/users will just stop using your software when they hit a bad bug. Only a tiny minority will bother to report bugs.
Github issues is already a pretty high barrier (you need a github account to post).
I make software targeted at a technical audience, and only 10% of bugs are reported on Github. So by requiring Github you already lose 90% of potential bug reports.
(numbers in this comment are very rough estimates)