Hi. Does YouTube on OSMC support logging in to a YouTube account for things like recommended videos/a home page and having a watch history and being able to save videos to watch later and general account stuff?
The Mediacenter part of OSMC is base on Kodi, so all functions are identical to the Kodi Youtube Addon. You can find the FAQ below and I assume answer to most of your questions is yes.
https://forum.kodi.tv/showthread.php?tid=325740&pid=2681561#pid2681561