Mr. Speaker, that is an interesting theory. I hope it doesn't, but if it holds true, the minister must be having a difficult time. That being said, there is no law requiring that he agree to his Prime Minister's request that he not step down.
On the other hand, he ought to respect and apply a constitutional convention endorsed for centuries in our British parliamentary system and resign when faced with a loss of confidence brought on by his actions.
Personally, I detest conspiracy theories. That said, I hope that this is not the case here.