Thanks John. Your post has made it clear the best solution is to use the same SSID everywhere and just let stuff do what it does.That's pretty much what I do. I also assign distinctive SSID's for my 2G and 5G networks for the same reason. My OCD mandates that I know which AP a mobile device is connected to at any time. Crazy? Possibly. This would be only one more in a long list of examples of that for me.
I'm prone to anxiety as well, and the best solution always seems to try to make it go away. Don't feed the monster.
BTW, I realized that the AppleTV Gen 3 and Harmony Elite Hub in the bedroom are the ones which really want to stay with the main AP, rather than the Closer one. However, those two devices I have learned from looking at the stats, have a max data rate of 65 and 72Mb/s. The signal in the bedroom is strong enough from the main AP to provide that speed. So, what difference does it make? When I move the faster devices (iPhone, iPad, MacBook) around the house, they switch to the local AP as needed.