Yes, but multiple promos are promoing the same thing, and in multiple characters. It’s a thing.
I’ve thought a little more about this. In the Uhura promo, she corrects Pike that she doesn’t just speak a dozen languages but three times that. That’s not arrogance but suggests that the writers are very fixated on establishing, explicitly, that these characters are the very best. They’ll even have the characters tell you that to your face. Personally, I don’t find that necessary, and don’t really see how that’s a selling point. If anything, I tend to think the franchise has suffered when it falls into the trap of venerating its characters too highly — they should be relatable people who sometimes do superhuman things with great difficulty, not superhumans in general. The latter is boring, and especially dangerous for a prequel series populated by Trek legends.
Well since this is ( I thank) the only time we have got specific trailers for individual characters of the primary cast for a show, its hard to reasonably compare to previous Trek's on the promotional side of the issue.
But on the character side, sorry but its common place. Look at what was probably (at the starting Gate) the least promising place to get assigned (outside of Lower Decks) and that's DS9. We have Kira who is arrogant and feels she's superior and more knowledgable then those in Starfleet and her own temporary government. We have Bashir who out rights states he could have any posting he wanted, and where he placed in his graduating class. And of course over the run of the show two years, we se show Odo feels his superior at his job then Starfleet is (from early first season), to Dax having expertise in many various fields (Which do makes sense for her character). O'Brien is a rare example in Trek of showing a character being completely overwhelmed by his immediate job.
Enterprise, its stated Hoshi is the best in her field (and she acknowledges this), Phlox is the best person for interspecies medical care that Starfleet had access to, Mayweather is more experienced than most Starfleet Captains. And T'Pol feels none of the humans are up to the level she is. All from the first episode.
Voyager Tom Paris outright states he's the best pilot Janeway could have, and Nellix states his knowledge makes him invaluable to the crew (both from pilot). Next episode we have Torres stating her's is the superior engineering skills and stating the experienced Starfleet engineer is an idiot. Chakotay agrees that Torres is the best for the job. The Doctor early in his appearances states his superior medical knowledge. 7 in her first episode as a crew person states her superior knowledge and ability.
TNG. Wesley is stated as gifted from the get go. And then by Where No One Has Gone Before the Trailer just reinforces how special he is. Data from the get states his superior knowledge.
Picard which has a rag tag group, has Jurati who is an expert in her field (though its a neglected field), and features Picard who at this time is regarded as one of Starfleet finest historical Captains, and we have 7 who is stilll 7. We also have Elinor who excels at his own skill set.
Discovery we have out of the gate Michael and Staments.
In TOS we had Spock, earlier we had Spock and Number One.
And in almost every case we know either from the get go, or short in their character run how above average for Starfleet they are. Having some people who excels in their fields is common for Star Trek. The only issue is that this is the first time its presented in individual trailers for several of them, versus us seeing it the first episode or first handful of episodes.
But using the US military and things like NASA (especially the early days) there were a lot of cocky people who were very much convinced on their ability to do the jobs at hand.