Frankly, hes cute and funny but I find he's overrated by old fans because he makes an impersonation of DeForest, which makes him perfect to people who can't accept this is another trek and another reality. His costars add new things like jj asked them to do, he makes no effort and he seems to think his character has no purpose outside of being a nod to the original trio. Lame.
Besides, he just got, in the first movies, the same amount of screentime DeForest got in the old thing and the same attention from promotional stuff.
The writers included him in the "action" such as the scene on nibiru, and then when he helps Carol and almost loses a hand in their experiment, but then he's appropriately kept in sickbay for the rest of the movie because he's a doctor not action hero, and it's already forced sometimes that he spends more time on the bridge with Kirk than doing his job. There is little jj&Co could do to give him more without making the character unprofessional and out of place. Some scenes in Beyond surely were "trying too hard" indeed so they shouldn't become a rule.
If he seriously expected to be the protagonist with Kirk and Spock then reading some comments online must have inflated his ego and delusion because not even DeForest was at their level.
The reboot is not tos and there was no old trio because it wasn't needed and it doesn't even make sense here.
Of course his dynamic with Spock comes across as one sided because this Spock isn't on denial about his human side and he isn't "annoying" with Mccoy, but I don't think Quinto should suddenly make an impersonation of Nimoy too (and go against the integrity of his character that Nimoy himself helped him shape) just to give Mccoy more screentime.
Im sick of this myopic nostalgic obession for the old trio stuff and one dimensional "roles". JJ didn't fail the old trio, he simply wanted a different dynamic because we are in a time where you are finally allowed to do more than just bromance, and it worked.
Karl's "favorite movie", on the other hand, that is the one placating nostalgia fans the most, is the least successful of the trilogy and the one that put the reboot's future in jeopardy. Nuff said.