I'm sure you're right about that.
It does raise the intriguing question of what would happen if some monarch ever did refuse to go but I don't want to go off topic.
Well, there was Charles I ... although I suppose he wasn't really offered the option of just leaving the country! Or Richard II and Edward II, who were both locked up in castles where they conveniently "died". Probably best not to go there! There are a load of "social contract" theories, from the time of James II, about whether or not it's OK to depose a monarch who's deemed to have behaved in a way that breaches the "contract" between them and their subjects, but whether they'd be dragged up over 300 years on is another story.