oh thats suchs I know simular parrents, and my own mother also hate when I whore a binder,
she found out about the bandage and wanted me to stop but I refused. in the end she understood there where no way she could make me leave outside the door to go to school, without binding, and she kinda accepted me getting binders because it hurted less and made me smell less terrible than when I had old bandage hanging around. I guess it kinda the same for you, if there really no way you could refuse they would probebly give up a time or another.
but your felling bad for giving them trouble, I got the same problem,
I feel somehow to be standing up for myself I sinning myself from my famely.
but when you look at it in the big picture. people make fake boobs, stuff there bras, make them look bigger,
and nobody minds, so why should they mind the other way? its pretty pointless..