As opposed to the other silly ideas in the franchise?
As others have noted, TNG did this well with the helm, and no I don't think it has to do with military background. I think it's the weird mission creep that bridge crew equals main characters that happened on Voyager and continued on. TNG had rotating members at the helm, and usually one died to show the mission was dangerous.
Wesley was pretty consistently the at the helm for a few years, but you're right that it was typically extras. Which honestly makes more sense, as it's not a department head like position. Nothing was worse than Harry Kim though. The one random-ass ensign who was somehow invited into all the officer briefings, despite the ship having dozens of other ensigns.
IMHO, the two shows that handled this best out of classic Trek were DS9 and ENT. DS9 because the show seldom really focused on what was happening in Ops, and we were mostly essentially dealing with folks in senior management positions. And ENT because the ship was small enough to excuse why we didn't see more crew rotations.
In more modern Trek, LDS obviously just ignored the bridge, for the most part. And PRO literally had no one onboard the Protostar but the kids, meaning it worked quite well. While I didn't like PIC that much, I think the Season 1 setup of a small crew going on a special mission gelled fine. There was just no good excuse why they returned for Season 2 (and then they ditched them for Season 3).
DIS really, really struggled though. Nowhere can this be seen more than Tilly, who went from one of dozens of assistants to Stamets in the spore drive, to somehow his only assistant by the season's end, to command training, to briefly XO, to leaving for Starfleet Academy, to back again for some reason. But all the characters were negatively impacted by this to some degree, which can be seen due to the fact that by the fifth season, they didn't even have a story role for most of the main cast, any longer, and just fit them into the story on the margins.
Anyway, the Ortegas issue can just be dealt with by giving her an episode, and a deeper sense of identity than "I fly the ship!" I can go for entire episodes, for example, without thinking about La'an as Chief Tactical Officer/security/whatever her title may be.