Ok I understand. I now always get a resolve missing permission warning in Kerlig and it shows the current tab. Since it's currently not possible to use this integration, it makes sense to disable integration when the browser is unsupported.

I did quite extensive testing on Firefox, and unfortunately, it has very limited support for AppleScript, which is needed for getting the content. So it's likely not happening unless Firefox adds AppleScript support similar to other browsers. BTW Opera is another example of such unsupported browser.