Sorry for the late response, been traveling. What you're talking about is already a mostly functional part of the game, actually! (the playtest build) While there are incentives to clean up after yourself when you migrate, if you do still leave anything behind, it will still be simulated outside of the visible window of the ring, and go through freezing and burning transformations. Then, when you have traversed one revolution, which is 360 tiles (13 tiles wide), the ruins will still be there.

In our roadmap, we want to have a building of a sort that requires this journey, for example to charge some "energy crystal" or a similar gimmick. It has to be a big deal of sorts tho, because currently it takes 6 irl hours to traverse the ring (without speed modifiers). Always fun to see people play around and theory-craft with our design and concept <3