One certainly does have to manage their public image on the interwebs. It's out there forever. I am a high school teacher. I do have a facebook account. And yes, Virginia, I do watch what's out there and what gets shared, tagged, posted, etc. I have asked friends and students to mind what they post and to take things down I don't want published.
I don't know if it's a generational thing. I've telecommunicated since the days of 300 baud dialup and BBSes. I've largely kept my online persona in good repair. I do watch what I type because my students can find me online in a pinch, so I censor my tweets, etc. I don't know if kids are as concerned. Today's infrastructure for communication is way different for my students. Texts, tweets, FB postings, forums, and email are all acceptable forms of meaningful communication. Though I think kids mainly use email as a digital bridge between them and us old fogeys.
But in the end, it all has to be managed, cuz people DO judge. It's common sense.