Thanks [I'm the author]. I tested with Chrome 105 on macOS and it succeeded. Possibly there are OS/plugin/etc issues?
Of course, I know there is no guarantee that every browsers innerHTML implementation will produce exactly the same result, but so far I haven't found any variation (Chrome, FF, Safari, Edge).
In Firefox 105.0.1 on MacOS, the button also always fails when I click it.
EDIT:
In my case, it appears to be some extra "<div style=\"position: static !important;\"></div>" text added before the closing </body> tag. I suspect this is introduced by a plugin, probably LastPass.
On latest Chrome, the "Check Fixed-Point" button appears to fail.