I do something similar. Over 90% of my YouTube consumption is with Alfred workflows which use mpv and yt-dlp under the hood. I just press a keyboard shortcut and the frontmost tab closes in the browser and starts playing in mpv.
The remaining percentage is still annoying, as it happens from the phone.
why is your tool so hard to use on ios? the website instructions say you need a companion siri shortcut, but no where is there actually a shortcut listed.
combing and coming through searches and reddit all comes up with non-working siri shortcuts that complain that the url is not found.