eeedc, as I demonstrated above with the +1 button all privacy is gone. Adding a "dot net" instead of the exact suffix does not matter.
Privacy is not 100% all or nothing, just as no domain name is "indespensable" or someone would already be using it.
It's a matter of how easy it is to find something on Google, and how much people need a name. I would suggest respecting the orignal posters wishes even if you think it does not matter much or at all.
For example, if someone posts a picture of you on a nude beach from the 80s when you were young and wild, your friends will likely never see it unless someone puts your exact name on the picture. Some jerk may come along and put your name on the nude picture, but he is a jerk in my book.