To answer some of the foregoing questions, the backup method chosen in Veeam Endpoint (for the Lenovo T440S laptop) was what the software calls "Entire Computer." (It was not a volume-level or file-level backup.) The backup was stored on a shared folder on the network, hosted by a NAS. Then as a test I typically delete key folders and uninstall some apps on the original computer and then perform a restore from this share on the network. In each case, the restore appears to be successful, and as I say above, so long as I remove the computer from the docking station, it boots up fine and the folders I had previously deleted and the apps I had previously uninstalled are back (as part of the restored image).
But the instant I put it on the dock, a kernel panic ensues, even though the original backup was done when the computer was docked.