Not by much at all. If you think of the big picture, that is what happened. And in more places than just one. That means Heartless & Co. either make a LOT of mistakes - or it was planned that way.
‘Twas supposed to be ‘ya know...’
But yes. It *sounds* over the top, but it really is pretty close to what they did.
I think their people being thrown out in Egypt pretty much disproves at least complete planning, and go with the general pattern that they really don’t understand actual people, except to appeal to their gullibility.