Perhaps, but the system shouldn't rely on parents appealing decisions to work correctly. If you ask for a decision, and you get it, why should they doubt it's true?
I also think that councils (and many government bodies in general) fail miserably in making it easy or clear how to access services. It should be simple for a parent who has a child entering a new school, for any reason, to see where to go to get admitted to the right local school.
I see this in my job all the time, people who are trying to access government services of some kind, online usually, and they can't find the right pages or forms, or make them work, or can't figure out the process, and no one at the relevant body will help them. So it's no wonder to me the service users aren't taking all the right steps in many cases.