I think the players are risking minimizing the public's empathy towards player safety issues when they use concussions, post-concussion issues, etc. as a lawsuit ATM to get $$$.
Louie Aguiar, former Chiefs punter is Exhibit A of this. He is one of the plaintiffs in the lawsuit suing the NFL for damages relating to concussions.
Aguiar barely got touched in his NFL career as a punter... much less received consistent direct hits to the head.