Maybe the Blessed Mother doesn't want to bind the demons, maybe they are being unleashed throughout the world as a punishment for mankind's sins. Didn't Saint Paul say that God let the demons pervert sinful men to sodomy because of their sins of idolatry? Maybe that is why God is letting these horrible demons pervert us. Didn't Our Lady warn us in her apparitions at Fatima to do penance and very few of us or our ancestors did any worthy penance.
We have nothing to lose by asking. As far as I know, it has never even been tried on a large scale. There have been zillions of prayers for the graces to be given the Pope to consecrate Russia with the bishops. They are afraid to do that. The more perverse the world gets, the more afraid they become. And they willfully refuse to fulfill the request.
If we ask her to remove the demonic, the humanity of the population will have a chance to resurface and angels and saints can move in. We can take away what is causing the Popes to be so fearful or at least diminish it to the point where even they in their weakness will dare to try something. We can get a consecration finally.
She won't interfere with the Pope's free will. Conversely she has no such restrictions when it comes to bouncing a demon off the proverbial walls a few times and forcing them to stop.
Our Lady might give us 80% of a victory and then wait for the consecration as the finishing touch.