I had run Disk Utility which showed the SSD there, by name, but unmounted. The first aid run did not terminate for several minutes, and could not be aborted so I rebooted.
Why would you think running first aid on working drives would be useful? There is only one other external drive connected, a Western Digital rotating disk drive being used as Time Machine.
The SSD worked once on another iMac and then exhibited the same response. It works fine on an old Windows computer, with the same cables, so it's not hardware. The box says compatible with macOS Big Sur, Catalina, or Mojave, but warns of compatibility issues with others!
Its got to be a problem with Ventura.