Not necessarily. Granted installing the Tor browser will set up the services/daemons and access to the appropriate ports in the background, but generally the Tor protocol has a lot more going on than a VPN.

Additionally a VPN can be had for free from certain services like ProtonVPN. It's not as fast as a paid VPN service, but during lower traffic times it'll suffice. Plus if you know how to torrent over a VPN, then you just download the vids that way and you don't need internet access every time you want to watch it.

This plus using CLI tools like yt-dlp on sites like pornhub, xhamster, etc, and you really start to realize how ineffective bullshit laws like these are for increasingly more technically savvy youths.