This is really a heat mass question.
When you put the insulation on the outside of the building you build the envelope.
The masonry which is controlled by the interior temperatures is what you want.
So yes like you said .... in the winter it will be warmer, not much heat gain from solar due to the low temp outside. In the summer if you have A/C it will stay cooler because it is out of the sun and high temps.
Like Square Eye said though you will not be able to determine if any non renters like termites move in...they go into the insulation itself, as do carpenter ants.
What you need is a termite shield at the sill level. This is a piece of flashing that is extended past the sill on the inside and outside ,about a half inch ,so you can see if anyone is trying to go around it.
When we build a stress skin paneled home this is the only solution we have.
Good luck on your project.