Again, this is wrong. The only variable that matters is whether or not the next shot goes in. Since these trials have been replicated enough times in a multitude of situations, any variable difference in conditions has long been negated (it was in the first study alone, but that's neither here nor there). As far as the science of statistics is concerned, Hot Hand Fallacy is a fact.
Now, as I've mentioned previously, streaks are very real in the psychological sense - they do play a part in the confidence and performance of a team: they sharpen people's senses and increase trust among constituent parts. However, making a certain number of shots has nothing to do with what will happen with the next shot.
It is the only varianle being measured. If this was completely true then percentages of players would stay the same throughout their careers and not fluctuate as much as they do. Defense, injury, fatigue, positioning all are variables that affect each individual shot. Therefore they affect percentage.
As soon as they ask a player in a practice if they think the ball is going in or what their confidence is they have actually become a psycological factor that could make the player overthink and mess up their form. This is a disputable theory but it could be a factor with some. This is why you have blind studies so as to not possibly tamper with the results on accident. I don't dispute the statistics. I merely conclude that there is more to it than just the mere make and miss as there are factors in a game they can not account for.
Not accepting those factors is like herby comparing heights of players and then saying they match up against each other well because they have similar heights. He isn't taking into account the other factors in what makes a good match up. Shots make or miss because of a multitude of factors and ignoring that is wrong.
Are streaks statistically real? No
Are streaks psycologically real? Yes
Neither statistics or psycology show the whole picture. If they did we could predict the outcome of every shot and game. But then playing them wouldn't be any fun anymore.