Actually it is the converse that is hard
First of all the use of the word was subtle, which is why I thought about the more explicit phrase. (Don't remember why I chose otherwise.)
But how does one openly engage in private conversations? Quite easily it turns out. If either of you blabs, it is now openly out there that you had a private conversation. Therefore reporters are a poor choice for a private conversation. Likewise you don't want to bring up anecdotes from your private conversations. And so on and so forth.
All of which comes down to the fact that if you are in the spotlight, then the trick comes with having your inevitable private conversations not be open.
I should note that what we are saying here goes just as well for every other profession with professional confidentiality. For instance priests, lawyers, therapists and doctors in practice routinely violate confidentiality to various extents. (And be honest, has anyone ever privately pushed the boundaries of an NDA with you?) Often maintaining the perception is more important in practice than maintaining the reality.
Cheers,
Ben
"Career politicians are inherently untrustworthy; if it spends its life buzzing around the outhouse, it\ufffds probably a fly."
- [link|http://www.nationalinterest.org/issues/58/Mead.html|Walter Mead]