Don
I'm not sure what is your question?
I think you may be complicating it more than necessary, and I'm not sure constantly tuning min moves through the night would actually produce results that are meaningfully better.
The guiding assistant run establishes the min move based on the seeing conditions it's evaluating. It's certainly possible/probable that you can run the guiding assistant at other times of the night, and you will get different answer for min move. There's no way to tell if the new ga results are transient (clouds, wind, etc.), or actual sustained better/worse seeing conditions. If the GA runs when it happens to be a wind gust, do you really want to increase your min move for the rest of the night based on that?
Guiding has been around for a long time, and there hasn't really been a need for constantly tweaking the min move. I suggest reviewing your guidelogs over time, judge for yourself what is the average seeing, and set your min moves there. You might have slightly different values for summer vs winter.
A meridian flip won't change seeing conditions since you are pointed at roughly the same point in the sky. GA measures seeing based on Dec without guide pulses, so even if your RA is mechanically poor and cause issues, it would not change the min move result.
Brian