People have been telling me I'd like this, so yesterday, finally, a few years after the fact, I picked up Kristi's DVD set of The Orville Season 1 and watched the first three episodes.
And yes, I do like it. Very much. I shall watch another three today.
Also -- those who said it wouldn't matter if you haven't been a Trekkie and you don't have to know anything about Star Trek to appreciate this (because I asked) -- they're right. I never have been of that persuasion, and yes I can recognize the basic setup of the show, but after that, everything stands on its own and is very enjoyable.