Just wondering why you would pick the Weibull. It has two parameters, and depending the values of the two, you can end up with a curve that is extremely variable in shape.
Weibull distribution - Wikipedia
Unlike a normal or triangular or uniform distribution, which is fairly consistent in shape. In other words, there is no such thing as a perfect weibull distribution. There is a family of Weibull distributions, whose members don't look much like each other. But as a mathlete, you would know that.
I only referenced the weibull distribution because I read papers where the authors used that distribution to predict the future performance of nba players. Also, what I meant by perfect distribution is the smooth shape where the first few points increase before reaching their max and then slowly decreasing season by season.