Privacy can increase freedom of speech from the perspective that the statements you would say in public are always a subset of that what you would state privately. I think most people have one or two examples on mind. That is not because these opinions are unthinkable or misanthropic, but because the tolerance of the public is the lowest common denominator.

Freedom and equality are also competing concepts. If you make everyone equal, you have to limit the freedom of some people. Then again without equality your freedom is very likely limited.