How about computer games? Professional teams have coaches, are required to exercise to maintain physical fitness, etc.
Oh, wait, they've invented their own category; e-sports.
Seems sensible.
Lets have b-sports for the card games, chess, go, and suchlike.
I haven't seen any cries from e-sports for funding. Instead, they've source prizemoney from fans. Big prizemoney. The major tournaments have prizes in the millions.