The newbie notion (and sometimes the established notion) is often that the singular most important skill is gaining distance. I've never seen a top player whose primary skill was distance. Yeah, they throw far, but what makes their game is the middle game and putting. Typically, where Paul, Ricky, Eagle and Simon go wrong is their long game. They push it too hard and end up OB or in trouble.
I don't think that anyone thinks that throwing long isn't important, but I don't think it is the most important thing. One doesn't have to look farther than the top guys. Ricky and Paul are very long, but they aren't Drew, Simon, Eagle, Wiggins etc. Yet somehow they manage to win. John E. is even shorter, and yet is a very substantial player. As others have mentioned, Nate, Nate, and others are long but nowhere near really long, and yet they are top notch.
If we narrow the discussion to just the idea of hitting 1,000 and we do an experiment, two pools of young players. One pool spends all their time working on long drives, the other spends all their time working on their short game and putting, who is going to hit 1,000 the most often? Who will get there first? Do the skills sets cross apply?
The adage, drive for show, putt for doe is old and yet still relevant.