A road analogy only works if it’s their private road which youtube maintains

Their desire to restrict how you interact with their "free" service necessitates eliminating your fundamental ability to tell your computer what to do - not just for "their private road", but in general. This is what the "war on general computation" is about. (I assume you haven't watched the talk linked in my earlier comment? there is also a transcript here...)

To be clear, they have not won this war yet - which is why all of the software linked in the body of this post is still able to exist! But, they are continuing to move in that direction and offerings like YouTube Premium are predicated on their (correct) assumption that, for many people, having agency over their own computers' behavior is already unimaginable.

So, re: your earlier comment:

That feels dystopian in the same way that a car mechanics offering services like brake pad replacements is dystopian, which is to say, a pretty big stretch. My uncle and his buddies would giggle, a la, Hank Hill if anyone suggested taking that stuff to a mechanic. But for 90% of people, that’s the norm.

I'd say this not at all like car mechanics existing and offering brake pad replacement service. Rather, it is akin to it being made intentionally more difficult and/or outright illegal to replace one's own brake pads - and also to have them replaced by any local mechanic who does not pay a recurring fee to the company that manufactured the car.