That's good if you want to avoid nasty shockers like we saw in the Chatroulette days, but it's bad if you're worried about a company recording snippets of your private conversations.
Video chat services like Skype, ooVoo, and Google+ Hangouts don't record your conversations, but that's because they're intended to connect you with people you already know. Airtime's mission is to connect you with strangers, so the service has to make sure it's safe and friendly for everyone else.
Bottom line: don't use Airtime for private conversations. And don't show your no-no parts. You'll be banned for life.