Sure, lower levels will change, but instead of the chaos above they’ll just continue to simulate upper levels in perfect order (even if different).
Edit: putting some effort to be more precise (though I may be on the wrong track): since the period of the pattern is 35328, it depends at which tick we introduce the change. Since we're changing a cell at a certain level N it makes sense to consider tick 1 out of 35328 for level N-1 (zooming in).
If we introduce a change at any other tick (out of the 35328), what we are really doing is a big change in level N-1 rather than a single cell change in level N.
Edit: putting some effort to be more precise (though I may be on the wrong track): since the period of the pattern is 35328, it depends at which tick we introduce the change. Since we're changing a cell at a certain level N it makes sense to consider tick 1 out of 35328 for level N-1 (zooming in).
If we introduce a change at any other tick (out of the 35328), what we are really doing is a big change in level N-1 rather than a single cell change in level N.