I don't care about what you do in the 'privacy' of your own home. [=I don't care what you do when you are at home by yourself or with your family]
She felt that the guard's request to search her was an 'invasion of (her) privacy'. [=she felt the search did not respect her privacy]
Celebrities have a right to 'privacy'.
(..) - You wish. - You sick bastard, Vic. You tried to fuck me in my father's office. Look, Vic, whatever you wanna do in the privacy of your own home... go to it, but don't try to fuck me. I don't think of you that way. I like you a lot, buddy, but I don't think of you that way. (..)1992 Reservoir Dogs