So why should be number important?
First, I don't think that FTs count for the points per 100. Maybe they do but my feeling is that they don't.
Second, you cannot take the stat too literally. You could have a player go 1 for 20 shooting but have a 120 pts per 100 shots. Why? Because the pts per 100 shots is based on the probability of him hitting all the different shots that he took. So for example, if a player only took 4 shots in a game:
-he takes a 3 pt shot and missed, but the probability of the shot going in was 0.5
(in this case, the pts per 100 is 150, 3 times 0.5 times 100)
-he takes an inside shot and scored, probability of the shot going in was 0.5
(pts per 100 is 100)
-he takes another 3 pointer and missed, probability of the shot is 0.20 this time
(pts per 100 is 60)
-he takes a final 2 pointer and missed (at the buzzer), probability of the shot is 0.1 this time
(pts per 100 is 20)
He scored 3 points on 4 shots. If you take pts per 100 literally, he would be averaging 75 pts per 100.
However, pts per 100 is based on the probabiliy that his shots would go in. So his pts per 100 is actually: (150 + 100 + 60 + 20) / 4
=330/4
=82.5
Does that make sense now? As to whether FTs count, I seriously doubt it. It would be too many things to calculate.
Run of the Mill Canadian Manager