Again, I'm not sure it means much of anything. If you guys have lived there a while, and in light of the fact that his family is still there, it might make sense to him to call it home. If goes out and has drinks with friends, he might say "I have to get home" refering to wherever it is he's staying. It doesn't really mean anything.
On the other hand, if you're having a hard time finding the motivation to keep going, I would suggest that you take whatever he does that seems like a good sign, as a good sign and leave it at that. If you think his comments about home represent a change in his thinking, then don't worry what we think, believe it. Your most important asset right now is your PMA, with that you can accomplish anything you want. Do whatever you need to to nuture it.