After reading several posts on ApplianceBlog.com and watching the associated videos, I felt it was worth a try to replace the ice maker. The posts [Jake] were truly informative and provided me with the basic knowledge to run the diagnostics. Even though the diagnostics appeared good, the ice maker would dump unfrozen water into the hopper after a day of making perfect cubes. The water subsequently froze which immobilized the auger and, if left too long, made pulling the hopper out very difficult.
The replacement ice maker arrived within a few days and installing it was a 10-minute job. I initially had a challenge getting the wires to the layout of the way of the ice maker (the new design didn't have tabs to hold the wire) but after a couple of tries the ice maker clicked into place and I then had only to not drop any of the 3 screws left to complete the install. It took a few hours to dump the first tray of cubes and I did check way too often but by the next morning the tray was full. That was a couple of days ago and all still looks good.
I have AppliancePartsPros.com to thank for the necessary information to diagnose the problem and the for the quick delivery of a part that fit my fridge.