I would be all for the PC being nothing but captain’s picks. Would make it more fun and differentiated from the Ryder Cup IMO.
Also, the tie concept is incredibly weak. In the event of a tie, have the captains pick one player to go sudden death for the win.
It certainly didn't and Tiger thankfully surprised a lot of people. I'll even go further by saying that I don't think we would have won if Tiger hadn't chosen himself as a player.