there’s a strong argument that there are more girls in shidduchim than boys in shidduchim, since girls enter the shidduch parsha younger than boys.
Indeed.
It is not all that unusual, in my circles, for the girl to be asked first. This typically occurs when the shadchan knows the girl better. The theory is that it’s to her advantage, because a boy (or his parents) is (are) more likely to seriously consider a girl who already said yes than one who didn’t.