Posterior chain strengthening/conditioning is vital, but it's not really anything new. It's basically one of the fundamentals for any strength program, and I'm sure Woicik, who has 6 SB rings, is well familiar with it.
I think the main problem, and it's leaguewide, is guys simply don't spend enough time conditioning or in pads to compensate for the degree to which a lot of this is tested in the rigors of live action.
Mainly because of CBA requirements.
Some players bodies will just never live up to the NFL no matter what they do. Like Austin, Johnson.
I guess one thing id try and do is make something like Yoga a "voluntary" (but not really) program for the team. Obviously, you'd need to change it up for the big fat dudes. As amusing at itd be, it might do some good.
I also don't think enough guys in the NFL really take their dynamic stretching pregame very seriously. But, who knows.