I don't see any necessary conflict between the two, and BB isn't advocating some undefined change, at least from what I read, as much as he's simply reciting that there must be an improvement in DB play. That doesn't necessarily mean any underlying change needs to take place, other than a shift in recruiting evaluations/philosophy (which has already taken place, I might add).
In any event, I do think he's basically right. We aren't winning championships if the pass defense keeps turning every halfway decent Joe Blow we come across into Joe Montana for four quarters. Want to win a tight game on a big stage against a very good opponent? Being able to get off the field every now and again on 3rd and 10+ would be a good start, and when you can't do things like that -- and I'm not even talking yet about putting active pressure on the football and forcing turnovers, which were almost non-existent for us this season at DB -- you really put yourself in such a hole that you're going to need other-worldly type performances from your offense and defensive front seven if you expect to be able to win those types of games.
