Point of Inquiry, Is there a parliamentarian in the house? There may be one or more ways to force McConnell's hand.
I like to imagine he and the Democrats in general might actually end up looking better if that's how it plays out.
In any event any parliamentary ruling is appealable to the floor where it is subject to a majority vote. The is the basis of the so-called nuclear option.
McConnell's hand can be forced if there is a majority willing to do what it takes to force it. If he has the procedural support of his caucus (even if they disagree on the ultimate question) he can prevent a vote from coming to the floor.
Edit: I misread the first sentence. Mea culpa.