You can't discard the different pressures specific to each gender, and how each gender deals in their own way with those issues. This reminds me of schools that deal with boys like they are "broken girls", they are ignoring their natural gender attributes when assessing what's acceptable behavior.
Are you saying that there should be different standards of acceptable behavior for boys versus girls. Or are you saying if the schools paid more attention to how boys normally behave, they would accept a more broad definition of “acceptable behavior” for all children?
Yes, people are different, you need extremely flexible standards to accommodate this. Right now the standards are far too rigid, and we have enough data now to know that on average they harm boys far more than girls.
There shouldn't be different standards for boys vs girls, but the standards should be permissive enough to allow for both, which currently just plainly isn't the case in many situations. Sitting still and talking is okay, Roughhousing and climbing trees is not.
That is not to say that one gender will always pick one set of behaviours over the other, people are still individuals obviously, but as a generalisation there is a difference.