Seth MacFarlane has posted some of season 3's orchestral recording to Instagram.
We wouldn't expect much serious PR activity five months out from release and this is ultra light. Even many die-hard fans would understandably skip it.
Tom Constantino - Co-Producer on season 3 of The Orville - recently offered us a curious nugget via Twitter:
Hey folks, been editing today…. BUT despite some misinformation to the contrary, #TheOrville #S4 is still TBD. It will depend on audience appetite and the #S3 response, so anything can happen!