On Android there are third-party apps that are not available on Market but are very popular.
Most wrap YT's website, add an Adblocker, and block certain APIs that prevent Picture-in-Picture, background playback, etc.
The small downside is that these apps can't use play services and thus you can't login to leave likes, comments, etc. Though you can use "Share" to open the same video in browser where you can login normally.
Google creates a shadow profile for you in that 3rd-party app, and after a few videos you watch the quickly associate you with your other profiles / shadow profiles. So, in a matter of hours or days YouTube will start recommend you content tailored to you, even though you are not logged it.
Works remarkably well.