Finally found what was causing this - it is due to the size of the area (map) that is on the display. In the case of the Well from my first post, there was no map to the right of my character, but there was stuff off to the left. That's why it was rendering off-center.
I've seen it in the first area above the Well too, if you get close enough to the sides. Once you understand why it happens, it really isn't a big deal. It'd be nice to see it adjust for that, but is still a minor thing.
Enjoying the demo!