assume the average % is the average after the last event. then, you are looking at .69% ft shooting.
out of 33 chances, you would then expect 22.7 lets say 23 made free throws. the probability of this event is 33 choose 23 * .69^23 * .31 ^ 10 ~= 15%
out of 33 chances, the probability of getting 28 made free throws is 33 choose 28 * .69^28 * .31^5 ~= 2%
so, no offense or anything, but you are complaining about an event that is only 8 times less likely than the most likely possible even in the scenario you described. given that there are many such categories (like ft%) in a single game, i would expect to see something like this literally every game. and with what, 10 thousand games a day, i would expect to see something like this literally over 10 thousand times a day.