I think the difference is that this Jason is still demonstrating some measure of restraint (and common sense). He hasn't killed anyone (despite having the opportunity), he has self imposed limits he won't cross, and while he seems fairly confident that his way is the only way he also laments what could have been and acknowledges the strength and conviction of other people.
It's a bit different than the 'Rwar, I'm gonna shoot this nine year old and rant incoherently until tossing myself off a bridge' Jason. IMHO, of course. Johns' Jason lacks the humor I expect from the character, but it's still fairly close to how I'd like to see him characterized. If the Red Hood in B&R is Jason then it seems like another slightly different, but still on the right track, interpretation.
Of course maybe he'll start bathing in baby blood in the next issue, so who knows?