That has, for the most part, disappeared. The problem was back in the day when you had the CCCP their state program could 'consistently' beat the pros from around the world.
Now the only sport that really has pros still competing is Basketball, because unlike other sports, the professional season is played opposite of the actual season. Baseball and Hockey have since stopped allowing pro players to participate. This may change as the NFL is trying to add flag football to the Summer games and has already recieved permission to add it as an exhibition sport in LA 2028, but that remains to be seen.