I have some considerable progress -- Your mileage may vary, but:
As I noted earlier: I had swapped external USB 3-connected hard disks, and the problem remained: Initially all was reliable, but 'soon' (weeks) both disks (one USB-powered, one externally-powered) started suffering this problem -- as frequently as several times a minute. I'm running a late-model Mac Mini with Big Sur, fully updated, and NO sleep nor power-saving enabled, and the disks were only being used for Time Machine.
Desperate for some fix, I bought a new USB Type-C to Micro-B 3.1 Gen2 cable (the latter is the funky connector used on my external disks), and connected it to the very same 'failing' externally-powered disk.
Three days later and NO spontaneous disconnections! (so far...)
I don't know if the difference is that I'm using a USB-C port (instead of the USB -3 Type A port) on the Mac Mini, or if I had a questionable USB cable (I had changed neither when I swapped disks).
The above SEEM to implicate either a bad/questionable cable, or the USB-3 Type-A port on the Mac Mini. Frankly I sorta don't care, as it seems to be solid now(!)