Advanced MPA and signature convergence

I have noticed this before and wanted to get the opinion of @xertedbrain or @manofsteele regarding what I have observed. When ,as I recently did, achieve a breakthrough of course my signature was updated. So I went to advanced MPA and extracted my signature. I have noticed that after about 3 iterations the signature seems to converge and not much if anything changes in subsequent iterations. Is this a valid way to fine tune your signature? If so it seems like it would be easy to do particularly when the change is significant. Maybe that operation could be automated? Thoughts?