What I envision in the 4th panel is that less people want to pay to sit at the benches, the players get paid less, players leave for other opportunities, and downward spiral starts. Eventually there are no more professional games because there are no money to support it.
Perhaps I am too pessimistic, but I think even with healthcare or housing when the barrier is broken down the system would segregate into two. A public option (no/little barrier) and a luxury (pay to play) option. Which in this analogy is analogous to another ballpark for professional baseball teams being built with taller fences and more expensive tickets.