A.S.
I agree with you. A child isn't 'potty trained' until they can get themselves to the bathroom without being reminded (I'm not talking an occasional reminder as in "We are going to the park in 10 minutes, please use the bathroom before we leave").
I personally don't think a child is *fully* potty trained until they can do it all themselves.....pull pants down and up, wipe, wash hands, etc.