I do feel like a public issue tracker will have a hard time addressing those issues, because the mass surveillance platforms like Google and Facebook obviously aren't going to participate... and people are still very attached to such platforms, despite their hostility towards ordinary users.
But I like the idea in general: When I'm visiting things that are on GitHub Pages or have a GitHub linked, I'm likely to drive-by leave feedback or point out minor bugs, because the difficulty of doing so is very low. Something like that for ordinary websites would be nice too.
Related to that, I might suggest that if a site already has people reporting feedback/bugs to GitHub issues, you should incorporate support for that, such that your platform feels like a universal way of feeding feedback to site owners, regardless of what they themselves use to manage it. (Similar to how GitHub Sponsors both operates their own sponsor system, but also provides the ability to configure it to link to PayPal or Patreon or whatever.)