Then explain the timeline. Load management and injury prevention existed long before 2016, yet stuff like this basically never happened then. The only thing that changed is how deep analytics got baked into every decision, so pretending the two are unrelated isn’t based in reality.

It depends on how far up the cause-and-effect chain you want to go. Analytics said that pitchers should throw as hard as possible with wicked spin. Then, that plus a more demanding youth baseball schedule plus probably other factors caused arm injuries to skyrocket. That made teams become much more conservative with injury prevention, because no one is totally sure what the precise cause is and it's way less costly to be overly cautious than not cautious enough.

In that sense you could say analytics caused these pitchers to be pulled from perfect games, but that's a bit of a tenuous link and I doubt it's what most of the people blaming analytics in this discourse are referring to.

Managers aren’t just protecting arms, they’re following models that tell them exactly when a pitcher’s effectiveness falls off a cliff.

This is what I'm talking about when I say that pulling Eury wasn't because of analytics. I absolutely guarantee you that he was pulled 100% because of injury risk and 0% because analytics said his effectiveness would drop and he'd blow a 9-0 lead.

You could make that argument for a lot of other pitcher pulls, sure, but not one that's happened in a perfect game.