Thank you - those links made for very interesting reading. The "Why DNS in OS X 10.10 is broken, and what you can do to fix it" article describes every home networking issue I have, and more, including hostname conflicts (not rare, though) and mysteriously disappearing Airport Expresses, problems that I have ignored because they didn't cause major damage.
I have also learned not to introduce Apple products, such as Airport Express or Apple TV, into the infrastructure of other networks I help maintain, because of the weirdness they bring with them. I prototyped a network expansion at a church I support using an Airport Express (brought from home) to provide Internet access along with a localized DHCP/NAT server for a digital sound system controlled via tablet over TCP/IP. The idea was to always be able to serve IP addresses to the audio equipment and clients in the building even if the Internet connection, which comes in over power line adapters from another building, went down. What happened instead was quite the opposite -- the Airport Express would go zombie every week or two and have to be power cycled. It was unusable.
Replacing that unit with a Netgear Wi-Fi router solved the problem, and saved the cost of an extra switch since it offered 4 LAN ports instead of 1. Fortunately, my Apple clients do still work. There are now 4 wireless routers/access points in the network, which covers most of 3 acres, none of them Apple because during testing Apple networking proved itself to be broken. And now I can more or less see why (I'm not deeply into networking).
I am glad to hear that I was not imagining these issues. I only wish the article offered a more acceptable solution. Having all your backups wiped out, weekly, is hard to ignore. I believe I had only seen this happen once before in the 7 years we have had this home network. I don't think the other Mac, that has not yet encountered this problem, is running Sierra. I guess we'd better not upgrade it.