I wouldn’t get to caught up in Emanuel ‘categories’. It doesn’t work like that. Historically the school has approx 50/50 state/ private and 50/50 boys girls. They will continue to offer on a combination of exams/ interview/ reports etc and I would be very surprised if offers are manipulated into categories. Some years it may not be 50/50 split but overall the school generally works out like that.
Similarly at LU it’s pretty much 50/50 co- Ed across the school but not necessarily exactly in each year.
That could both use WL if they end up having a major imbalance but it will never be exact as none of them know who will accept offers. With Emanuel, lots of siblings don’t get in and remember if they get an offer they may not accept it.