Do this
Press every ball flat before it bakes
Peanut butter makes a dense, stiff dough that will not relax and spread the way a butter dough does.
The fork does mechanically what the oven cannot: it pre-spreads the cookie so the heat has a thin enough section to cook through. Cooks who left the balls tall reported the worst centre and edge readings in the whole file, and cooks who simply forgot the step reported dense underdone middles twice over. If the dough sticks, dip the fork in sugar or flour between presses; that is an anti-stick trick, not chemistry.
Flourless versions need more: the doughs with no flour at all want a wet, sugared fork and two passes per ball.
Free choice
The criss-cross itself is tradition
The pattern signals what is in the cookie. It has no effect the flattening does not already have.
It is a real piece of history rather than a myth, and it is genuinely why the marks look the way they do. But cooks who flattened with a mallet, a glass or their palm got the same result. Use the fork because the cookie should look like a peanut butter cookie, not because the cookie needs it.
Worth knowing
This is the one cookie in the family you flatten
Every sibling dish says the opposite: leave the ball tall and let the oven decide.
Oatmeal cookies keep their shape best when nobody presses them, and snickerdoodles are the same story again. Peanut butter inverts it because the dough is stiff rather than slack, so pre-spending the spread is the only way it happens at all. If you have learned the ball-don't-flatten rule elsewhere on this site, this is where to put it down.