The hell it does, it's the exit node's IP address, nothing anonymous about that.... and that's the problem, they know it's a Tor exit node so they'll give you extra shit for it.
If you own your own domain the you can use a paid tier of a service like Proton or Tuta where the emal is you@yourdomain.tld and the backend is actually them, so you don't need to selfhost.
Tuta's nice (Germany), the only think Proton (Switzerland) as over it - for me - is an .onion site, although they leak a lot of links onto clearweb. I've heard of Fastmail but haven't tried it.
The hell it does, it's the exit node's IP address, nothing anonymous about that.... and that's the problem, they know it's a Tor exit node so they'll give you extra shit for it.