Hot Take: UA is fundamentally a terrible school. The reasons:
Their entrance exam for the Hero Course is tailored towards flashy, combative quirks. (While yes we do see non-combat focus quirks in the Hero Course like Hagakure's, she's 1 out of 36 as 4 spots reserved for the rich/well-connected students). Meaning quirks like Shinso's that can descalate a situation are pushed off to the side and the only way after the exam to get into the Hero Course is the Sports Festival, which again is primarily for flashy, combative quirks.
Who they hire as teachers is bad, actually who they hire in general is bad. All of the teachers and even the few support staff we see are Pro Heroes. Not people who's most important job is to teach. The UA staff's most important is to be Heroes. And their school nurse, who's quirk is very useful, basically threatened a student into figuring out a quirk that he only had for less then a year otherwise he'll be permanently maimed for life.
Who the teachers are are also bad. They hired All Might, the #1 hero at the time and someone who obviously doesn't have a teacher license as the Combat Teacher. They have Midnight, the R-rated/18+ Heroine, as a teacher, and we have seen her being overly forward and sexually with students(minors) present. Easerhead is simply a bad teacher overall. His favorite thing is logical ruses and not explaining exercises under the guise of Life won't explain anything. Not only that but despite threatening expelletion for not having hero potential(something that can be entirely subjective) on the first day, he didn't expelled Bakugo or even punished him for trying to attack Izuku. And after the first Combat Training, he didn't punished Bakugo for disobeying his teacher(and thus direct superior),trying to seriously injured Izku with an attack he was told not to use(and lets be honest, it was attempted murder with the line "He won't die IF he dodges", he knew that if Izuku didn't dodged or was 1 second too slow with redirecting that attack, he would have died or at least been injured badly) and using an attack inside a building( what if the situation had the "Villains" take hostages along with what seems to be a Nuke). The only time Easehead punished Bakugo was b/c he broke curfew to drag and fight his bullying victim(aka he was inconvenienced by Bakugo's actions) Easerhead also doesn't punished a certain rotten grape despite essentially being a criminal( who also committed said crimes on school grounds).
They obviously don't have any background checks or interviews with the applicants or people that know them, despite being the #1 Hero School.
Being a hero school in the first place. By calling themselves a Hero School, that tells people what their main focus is on. That like a modern day School advertising themselves as a Sports School, one that if someone goes there and gets into their Sports Course, they will become Pro. Also the fact that UA is a high-school and not an university/college, meaning that UA is essentially training child soldiers.
Allowing 14/15 years old on Villian Raids and into warzones.
Not offering any sort of help, post USJ and the training camp.
Sports Festival is a terrible idea in general. First broadcasting your Hero Courses' quirks for any Villian to see, yeah that totally won't end up with someone form UA dead. Second, using minors as the contestants, did any of the parents sign permission slips to allow their children to be broadcast on national TV. Third, like I said before, it's focus is on the Hero Courses and flashy quirks.
UA also let Ilda, who's brother was crippled by Stain, to intern in Hosu, which also happened to be where Stain is reported to be. For Nedzu, the supposedly smartest person on Earth and most likely the final authorityon the Internships, to allow that to slip past him is stupid.
There's probably more times where UA showcases the fact that they shouldn't be a school meant for minors or even at all then I have stated but I'm tired so yeah here's my hot take.