One common reason could be his strict teaching methods. He might be seen as too harsh on students, not allowing for enough creativity or individual growth. For example, his no - nonsense attitude towards discipline could be perceived as stifling for some students who need more flexibility in their learning environment.
In the mainstream series, Aizawa is often seen as a tough but fair teacher. However, in the fanfiction, they might exaggerate his negative traits. For instance, his strictness in the original might be turned into extreme rigidity in the fanfiction, making him seem almost unapproachable and not at all understanding of students' difficulties.
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There are some amazing Aizawa Shouta crossover fanfictions in the My Hero Academia and Naruto crossovers. In these, Aizawa's skills as a hero and his ability to keep his students in line are put to the test in the Naruto world. He has to deal with ninjas and their different powers, which makes for a really engaging read.
One common theme is resilience. Aizawa often has to deal with a lot of pain, but he shows great strength in bouncing back. For example, in many fanfictions, he endures physical injuries during battles but still manages to come back stronger.
There was a PE teacher at my old school who would often cancel PE classes without any good reason. When we did have class, he would just sit and watch us instead of actually teaching. He didn't bother to correct our form or give us useful tips. It felt like a waste of time and we didn't learn much about physical fitness from him.
I knew of a teacher who was extremely unfair in grading. She favored certain students and would give them high marks even when their work was mediocre. Meanwhile, other students who worked hard got much lower grades for similar quality work. This unfairness created a very negative and competitive atmosphere in the class.
One time, my math teacher would always yell at students for not understanding concepts immediately. He never took the time to explain things differently. If you asked a question, he'd make you feel stupid.