Thanks a lot for the detailed review!
You raise an interesting point. I created an issue about this: https://github.com/WofWca/jumpcutter/issues/181. We can probably disable the extension automatically when playing live streams.
Workarounds for now:
- Utilize the Chromium's whitelist functionality (see https://github.com/WofWca/jumpcutter/issues/26#issuecomment-925007811)
- Just toggle the extension on and off with the Alt+Shift+X shortcut.