Given the historical - and sadly frequently contemporary - sexism within the education system, I would very much push back against this.
Now, if you were to argue that extroverts have certain advantages in school and the workplace, yes, that’s probably so. But that is not a gender issue.
School does require some some maturity to manage time and meet deadlines and I realize that girls are considered to mature faster than boys, but we also see many, many excellent male high school students so that clearly is not always a hinderance.
So, if anything, there may be personality issues that affect how well/poorly one does. To a lesser degree, maturity issues. But to argue that educational spaces in this country favor girls is a bit of stretch to my mind.