Well, is that 5-minutes-to-print an edge case or a more than occasional situation? If the latter, how hard is it to create an alternate email account in which you send non-confidential emails/docs on the spur of a moment?

If it's an edge case, it seems like a trivial one for reducing your security so much. As your documented online data grows, the chance of being hacked only grows. And once you've been hacked, there's really no going back if the attacker decides to do a data-dump and now forever holds your information in perpetuity.