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I'd honestly pay for their premium 13$ per month if it wasn't Google:

Doing so would allow them to cross reference all their tracking to my personal details, or at least to a fixed id.

Exactly. The main reason I don't pay for YouTube, is that I don't want to be logged in to browse it—already getting tracked enough without that.

I pay for family premium less than 6$ (I'm not from US though)

You can sign up for Premium under a VPN and get it for cheap, even in the US. I pay $3/mo for it.