Can be helpful to turn off watch history during such sessions, or to remove the videos from your history afterwards. Agreed that there should be an automated solution, but you can avoid it today will a small amount of work.
Are we talking about the same Spotify? Because the only reference I found to removing songs from my recommendations is a thread from 2020 that says it is not possible.
I set up the browser session we use as a TV with profiles entirely to prevent any more of my spouse's yoga videos from leaking into my carefully curated feed of machine shop footage and construction videos.
