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'.
(..) them to me. Or drink to them. The real poems, what we call poems, being merely pictures. The poems of the privacy of the night. And of men like me. This poem, drooping shy and unseen, that I always carry. And that all men carry." (..)2004 The Notebook