I'm not sure how much more could be done before each of those sports becomes just about 100% "safe", especially with all the revenue generated by them. Their popularity is certainly overwhelming.
That sounds like you mean that "safety" is judged by its effect on revenue.
The very unhappy for sports bottom line is that until they begin
banning guys - regardless of their star status - for extreme play, and perhaps even encourage the cops to arrest a few, sports will continue to be gladiatorial.