Re: Android, I tried to log out of YouTube on my phone yesterday. It said "Sure, as long as you don't mind logging out of GMail too." I was taken aback by this -- I didn't realise this was a hostage situation.
I know you are most likely referring to Play services, but still worth noting for folks who may not know it exists as an option. I suppose for the latter, microG may offer a useful option.
Note : you must create this collection on firefox addon or find existing one as you will need the collection ID.
ublock and the other featured apps essentially had to adapt to the mobile firefox way of doing stuff and opening settings in a separate mobile ff tab etc.
(then take a look at youtube vanced)