It appears that the aforementioned letter, signed by 41 PGA Tour players (which included Woods and the 5 Player Directors) prompted Monahan et al to make the very quick decision of adding Woods to the Board, thus tilting the "power" of the Board in favor of the players, which, of course, gives the players much greater control of their and the Tour's destiny.
They knew they were adding a player director many months ago. I remember reading stories about it. When I heard it was Tiger Woods, I remember thinking "oh, that's who they added," not "oh, they added another player?" Because they were planning to add another player for quite some time already. Perhaps since that meeting or shortly after that meeting.
Cantlay was #5, IIRC, out of ten. Previously the players were down 5 to 4.
Also, it's not like it's adversarial. The advisors advise… and they're on the players side, too. They understand the business side more than the players do, so it's a communication thing. It's not adversarial like many seem to think.