I may be way off base....but maybe DB your daughter. Like Grace said....your daughter is slipping through the cracks in my opinion. Obviously MLC wants you to spend time with your daughter (no reason for her to lie) and you made the attempt. Your daughter could be benefiting from the reduced parental communication and using that to her advantage.
On a parent site I went to...a mother was complaining about her children not coming in for dinner (huge fights that were destroying the basic dinnertime family situation). The therapist for the site said "Tell them once it is dinner time...make their plate and leave it on the table. Don't tell them twice". Eventually they will get tired of eating cold food and start coming in when called.....it worked for the mom after a week. So if your daughter doesn't want to respond....let her not respond. Do some cool guy stuff with your son instead. Eventually she will realize that your son is doing cool stuff with dad and she isn't.