[Feature request] Make "Watch on YouTube" preserve current playlist

[pbsds]

Is your feature request related to a problem? Please describe.

When i click "Watch on YouTube" I get redirected to YouTube with the video ID preserved, but not the playlist ID and index. I.e. it does populate the v=VIDEO_ID url argument, but not the arguments list=LIST_ID and index=INDEX.

Describe the solution you'd like

Pass along the playlist information.

Describe alternatives you've considered

Not doing so

Additional context

None