No it's not, other than that they made a lot of the same stories.
It LOOKS more like star trek, especially TNG, but it's completely different, ST is about professionals doing things in a professional manner while still keeping their humanity and private life but keeping it separated from their profession.
The orville is a bunch of dudebros (women included) that do things in the most unprofessional way possible focusing on their personal life and wants more than on whatever is the problem at hand.
Discovery is the jock version of ST
Orville is the dudebro version of ST
Neither is close to ST
Can't say about that, never seen any of those three shows.
But does strike me that you're right that Star Trek was all about "professionals", doing things as a "profession" and very much as a team.
Long ago struck me how that was very much in contrast to Doctor Who, which was about the lone amateur eccentric.
Which in turn seemed like a frequent distinction between US drama and the UK stuff. British stuff often seems to have focused on lone amateurs, usually upper-class, while Americans seem to prefer their teams of paid professionals.
See also Sherlock Holmes, the amateur showing up the plodding professional police as useless.
It seems very much entangled with the class system - gentlemen vs players.
Of course, in truth it doesn't hold up that well as a theory with regard to the technocratic US vs class-bound UK, because there are also all those private slueths in the US, like Phillip Marlowe. And the cult of the amateur doesn't seem to have the same class-implications in the US as here.
I do get the impression, though, that ST has rather deviated from that "technocrat professional" idea.