No, maybe I am wrong, but I think OP means they need to consider whether there is a second application two years down the road to get into a major after admission to the school.
I don’t think that is overcomplicating at all — it doesn’t matter if you can get into a school if you cannot ultimately get into the major you want. Or if your student doesn’t want the stress of the possibility of not getting into a major or being able to switch majors into a constrained program.
So it is important to do more than just pick affordable schools with programs/majors you like. You also should consider the process for getting admitted to and completing the major at each school. Sometimes getting in is just the first step.
I think the extra layer of competition that exists at some schools AFTER admission is what lands some schools on this list: