I've learned over the years that the 3-click Vs analog swing control debate is right alongside pro-choice Vs pro-life and creationism Vs evolution debate in volatility, and I'd say even more of a subjective one. I know I've used 2 and 3 click methods, and every form of analog/motion control known to man. Ideally, I'd prefer motion control using my Move and SimStix golf club accessory for hardcore game sessions, but probably for the majority of the time, I'd prefer a thumbstick swing that is properly tuned to account for more subtle nuances of a golf swing.
If you could put Links 2004's (XBox) full shot, golf swing interface with Tiger Woods PGA Tour 13's (PS3 and 360) pitching and chipping swing interface, and Tiger Woods PGA Tour 10's (PS3 and 360) putting interface, an analog swing control gamer would have a pretty darn good golf game. I also think such a game would perhaps convert a few more 3-clickers into the analog realm.
If suddenly analog control was rendered inoperable in computer and video golf games, I could go back and play them using 3-click swing controls. I would hope that if something like this were to happen, there would at least be a 3-click swing mode that required me to use the golfer animation, in real time, to gauge the power and snap of my swing.