It is really trivial to do basic traffic snooping and see what people are looking at. I'm surprised it isn't more common.
I figured it would be harder, or perform worse, but I easily wrote a little piece of software that filters the TLS ClientHello for arbitrary domains. Maybe 10 years ago hardware wouldn't have been able to do this, but I bet it's no big deal now. So your filter chain just looks like <Netflix IP range> -> <has fast.com ClientHello> -> unthrottle. You don't need to do packet inspection on every packet, just ones that you might be interested in (e.g. Netflix IPs).
It's crazy to me that the many people who care about privacy and censorship in tech haven't pushed ECH (encrypted ClientHello) harder. It's such a gaping hole in web privacy that you can still passively snoop domain names sent in cleartext. It makes DoH/DoT almost pointless.