Agreed. But unless I'm grossly mistaken(which can happen), paying into SS is not optional. If you work, you have to pay your income taxes. If I'm missing something, could someone please tell me how to opt out? All joking aside, I think it's more likely that the individual explaining the situation is confused then someone working for a school district and receiving retiree benefits without having paid FICA.
Some state teachers association exempted the teacher from paying ss tax. In this example she may have to pay A and B premiums.