if miles after a few years training could outrun over 200 spider men, women, and other creatures, (frickin spider-rex included). pretty sure peter with much more experience could have ended like a fair chunk of the massive war in season 6.
A way you could make this more realistic is to make Peter not able to understand the Japanese Anime characters bc they speak japanese... plus a student would need to take some sort of exam to enter, pro heros wont be that unreasonable to just let anyone enter UA.