This also highlights another crucial difference in Bugzilla: it keeps track of not just open/closed state, but also the reason: fixed, can’t reproduce, won’t fix, incomplete… whereas stale bots are a single awful blunt instrument that seem like they might help with closing incomplete bug reports, but in practice they do much more closing of real stuff, annoying of reporters, shoving of stuff under the carpet, &c.
What the stale bots lack is nuance, because GitHub Issues is too generic to support a good triage bot that isn’t deeply specialised to a project.
And even if you have a decent triage bot, there is no substitute for manual triage. It doesn’t need to take very long.