I was born in 2002 and wasn’t really much exposed to the internet until 2012. I saw my older brother and sister watching YouTube on my Dad’s laptop in 2007 with a (presumably ethernet) cable, but I’m sure they weren’t using dial-up, and I think most people had abandoned it by that time.
Regardless, I was learning a bit recently about how dial-up worked, and saw that it was still possible to set up in modern-day; so it got me wondering what the privacy implications would be if I hypothetically were to use it. I imagine it would be terrible!
You could use Tor as it has a setting to play a dial up sound when you connect.