I'm having trouble understanding how giving this metadata to a centralized entity makes the transaction more "private".

In the example, now instead of sharing my IP with a therapist, (who I presumably trust enough to... not ddos me?), I'm sharing the fact that I was talking to a therapist with a company I possibly didn't even know existed.

Better yet, I suppose I can now be barred from accessing webrtc services if said company decides I'm a "threat" based on all the metadata they've been collecting through their other services.