I wasn't suicidal when I was in high school, but I absolutely understand people's depression around the school year.
I actually don't hate school as much as an adult, but I really did view school like a prison when I was a teenager. I didn't like homework, I didn't like most of my teachers, I liked learning but due to the fact that schools have to go at a pace slow enough for the dumbest person they want to pass, I would get very bored during class, and so high school in general was existentially dreadful every day. Even when I got home, I would dread the fact that in about ~15 hours, I would have to go back to school again.
It didn't help that there was a dread with grades in general; I wasn't abused or anything, and I think my parents in general were pretty ok at parenting, but as report card season came nearer and nearer, I would get more and more depressed, because when I would inevitably get middling-to-bad grades, I would get a lecture and/or grounded by my parents. This meant no computer, no games, I wasn't allowed to hang out with my friends, and they hoped that it would force me to study more. It's not dumb logic, but it just didn't work. I would just be sad and angry and still wouldn't do the homework.
No doubt a large chunk of this was just hormonal, but I really think that the typical American school system is not a good fit for a lot of people, myself included. I don't think anyone has ever seriously called me stupid, but I would be in camp that endlessly frustrated teachers: I would do well on the tests, I would do well on the AP exams, no one disputed that I understood the course material well enough, but I just didn't care enough to do the homework so they would be forced to give me bad grades. I don't blame the teachers for this at all, they're just doing their jobs.
Despite being in AP classes and having skipped two grades in math, I was seriously considering dropping out of high school and just trying for the GED so I wouldn't have to go anymore, and I probably would have done that if I didn't think that my parents would freak out.
I didn't want to kill myself, but very few things brought me more joy in my life than knowing I wouldn't ever have to go back to high school again. I know a lot of people say that these are the best times of their lives, and power to them for that, but they were decidedly not for me.