As of right now, you have to use the timeline in the video player to skip to 0:00 of a song. BUT you also have to stay WITHIN the timeline (Example Video).
As this is quite annoying in my opinion (especially with very long videos), it should rather possible to be able to put the crosshair even outside of the timeline to go to 0:00 (but I heard that's not quite possible within Unity UI?) OR putting a button for this in the player. Maybe instead of adding a new button, edit the current "previous"-button to be able to skip to 0:00 if there is no playlist being played.
This would make things easier to control, if you want to go to 0:00 of a video (and not 0:02).