If you read the bold comment again, you'll see the two disclaimers in there. ie. "usually" (not always) and "more about" (not exclusively).
In this thread we're mainly talking about presses, and in this case I was mainly refering to the European press as used in competition back in the 1970's and explained in detail by Bill Starr. Sorry, I should have made that clearer.
Anyway, you mentioned power cleans to demonstate that I was wrong, so let's discuss them briefly. You'll add some strength to the back, legs and shoulders, but only explosive strength specific to explosive power movements. These could help in certain athletic movements, sure, but you're not going to see anyone squating, deadlifting or pressing more from doing power cleans.
Being a bodybuilding forum with a powerlifting following, I'm not speaking about advantages specific to other sports. Other sports will have their own forums with advice on how to improve strength specific to those sports. Of course power cleans will be useful in other sports. I'm not disputing that.