I belive there will be many reasons for parents accompanying children to Uni.
If my dcs want me to accompany them for an opinion, I will. I won't, however, attend the interviews, etc. At that point they will have to be able to do it all by themselves, on their own merit, not mine. (And some me time shopping sounds good, too!)
And similar to notquitenormal's mum at the job interview, I do know a parent who contacted her son's uni to discuss his grades with the tutor, on the grounds that she was paying for the course and therefore had a right to know! Of course, the tutor did not tell her anything, but said she needed to speak to her son, if her son wanted to, that is.
She grumbled to me about this, thinking the tutor was being unreasonable, but I was shocked at the helicopter attitude, and told her that if I were hiring staff, I wouldn't want someone whose mum tried to dominate, because I couldn't be sure s/he would be able to cope with the work!
I bet there are university staff who have probably come across similar parents.