Going to school for film is also rewarding. You will not only get to learn from professionals, but you will get to be graded on your work. You will learn when you aren’t doing something right and how to improve.
Schools also often have nice equipment that you otherwise wouldn’t have access to. You will get to make projects, build a portfolio, and network. You never when your professor might want to use you. Or your classmate who is now in Hollywood working on big budget films.