What contracts do pro golfers have, apart from maybe contracts with sponsors. They aren't contracted to the PGA. Of course the fewer PGA tournaments they play the further down the ranking they go.
The players are “independent contractors” .Nevertheless when they sign up and accept a PGA Tour card, they make a commitment to play on PGA Tour events and to abide by the tour regulations. IF there is another tournament that is directly opposite a PGA Tour event, a player must ask permission to receive clearance by the PGA to play in that tournament, as is the situation in this instance. Players are allowed to do that for up to three events and they must play a minimum of 15 events to maintain their PGA Tour card.
The tour card does a great deal for the players. It allows them to participate in a pension program, grants them access to major tournaments around the world that are sanctioned by the PGA, and earns them nice sponsorship money for their efforts (event the lowest ranked player on the PGA Tour has a minimal sponsorship from clubs, balls, footwear, etc.
if there was no relationship between the players and the tours they would not need to ask permission to play in the LIV events