No they won't. Just because they've got a sympathetic ear based on a couple of suicides doesn't mean you can expect the NFL to go broke paying out damages. While I'm sympathetic to the plight of those that gave up their bodies and minds to the football godz, they also knew what they were getting into. I'm really not sure how the WWE applies here since all of those guys are independent contracts and the definition of trading their bodies for cash no questions asked.
the challenge to the NFL is whether or not they knew about the impact of concussions and tried to cover it up. If the plaintiffs can prove the owners put the players at risk, and lied to them, they'll win the suits.