Keeping stats has definitely helped me and made me enjoy the game more. Keeping stats is more for optimising practice sessions.
However, I do agree with the OP that making decisions on a course just to achieve a particular stat is a bad idea. If you are the kind of person that might do that, then keeping stats is probably a bad idea for you.
There is only one situation where my stats actively effect my decisions in game. My stats software I use has something called a PSI - Personal Stroke Index. It compares your personal difiiculty ordering of holes with the club's ordering of holes. So when I am in a competative match and I am on a hole I know is in my bottom 3 holes, I play conservatively on that hole (especially in the area that is causing the problem - my software does a PSI for every aspect of my game). I do find that does help.
Other than that though, I just use my stats to tell me where it is best to practice. My pro likes it too, because when I get a lesson he can look at my stats too.