I received a reply from Paragon and they gave me access to Hard Disk Mgr 17 Advanced v 17.20.21.
I tested it and that version still does not perform a true disk image/restore.
Before doing a new disk image backup, I confirmed that Task Scheduler on the test computer was working normally.
Upon the restore of a disk image, Task Scheduler did not work anymore. It produced this error: MMC could not create the snap-in. The snap-in might not have been installed correctly.
I have no clue what gets corrupted by HDM because some MMC work and some other are broken after a HDM Backup/Restore operation. The rest of W11 appears to be functional.