Whether it's public/fast/direct or hidden, they are both Must-Tor services. You can't get away from that basic requirement.
Tor Services, being either Fast/Direct/Public or Hidden/Onion, could be the generic term for either. It would get away from any possibility of what OS is - Onion Service vs. Operating System. MustTor could be a term to reflect a requirement to access the Service, but if that's the case you can drop "Must" as that would be a known given, Tor *must* be used. But having MustTor/Mustor as the [open] service name would only provide unreasonable ambiguity to the hidden onion services.
Just to throw a wrench into the mix...
- (OS) Obfuscated Service to replace Hidden (Onion) Service - (DS) Direct Service to represent the new type of Onion Service - (TS) Any [Must-]Tor Service
Those... seem to me to be clear and to the point...
Matt Speak Freely