I personally am not bothered, however my employer has a social media policy whereby if I disclose in detail who I work for, what I do etc, every post I make has to be squeaky clean etc, which I'm not interested in as I like to have a rant occasionally, even if it's a silly rant
Therefore it's far easier just to not disclose it as I can be a bit more liberal with what I post then without bringing the company into disrepute. It seems to be a standard thing with most employers now.