My guess is they will either react in one of two way.
1. Be so ticked that you basically threatened them that they basically just tell you to get lost
2. Suddenly have an oh crap moment and bend over backwards to fix it.
My guess is probably the second because it means guaranteed lost revenue if they do the first. Just from what I've read with their CS, if you put them between a rock and hard place they seem to suddenly remember how to solve problems.