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'.
(..) Ah, listen, l'm sorry about not ringing back. The whole ""two-names concept""... was totally too much for my flatmate's pea-sized intellect. No, it's a stupid privacy thing. l always pick a... cartoon character. Last time l was Mrs Bambi. - Everything all right ? - Yes, thank you. (..)1999 Notting Hill