Hi Rob, I have been keeping monitors in all sorts of cages outdoors for 16 year now.
I have top opening cages, where the monitors can only see up(sun light). In these cages, they act no different then when they are inside.
Now, if its heat thats causing your monitor to act different, then that means you need to increase the heat inside(thats how i ended up discovering high heat) But yes, if your monitors are under heated inside, that the increase will allow them to be themselves.
But there is more. To monitor is a big one. That is to see out. To see distance and things normal to them. This is a very big one. Also pocessions, a real burrow, a real basking area, things they value and protect in nature. This can also be done inside. Things useless them are not protected behaviorally.
So, in my experience, its have far more then just sun light. They have sight, heat, pocessions, and they without question, know what outside a cage is, even when the cage is outdoors. Cheers