The general content of Yuri's tweets has been common in locker rooms and barracks since time immemorial.
Given that our coaching staff had a long-standing relationship with him and were still actively pursuing him prior to Twittergate is strong circumstantial evidence that there's nothing deficient about his character.
He's a 17-year-old kid who, as a junior, was virtually unknown. The only people who followed him on Twitter and Facebook were his friends. Like 99.999% of those on the internet, he could post whatever he wanted with virtually no consequences, because like most high school kids, he wasn't of consequence to the public.
Then 2011 rolls around and strangers start "friending" him on Facebook and requesting permission to follow his Twitter account. His new-found celebrity is cool, but he doesn't think much about it. After all, aside from fielding lots of phone calls from coaches and recruiting analysts, not much has changed about his day to day life.
Lo and behold, typical locker room banter is offensive to women, homosexuals, etc. A depressingly large number of those people who proactively reached out to Yuri for permission to follow him on social networks expected him to have a level of media savvy that eludes most politicians.
I don't think ND could have taken him after Twittergate because it would have been bad publicity for the school and if Yuri ever got into trouble for something more serious later... he was a PR nightmare waiting to happen.
But I don't believe Twittergate exposed some serious deficiency in his character, nor do I believe it's reasonable to expect a 17-year-old kid to gracefully transition from anonymous high school student to celebrity in less than a year.