Update:
I got got the mixing valve on the rear of my Hydro Hot unit to move full cycle freely from #I thru #4. As I was reading through an article on troubleshooting Roger Bourke sent me, I read the part about the stir pump. On opening up the front of my unit, as before, I never saw stir pump and assumed my unit didn't come with one.
Having been to a shop that has a certified Aqua Hot technician who diagnosed my unit last year, and supposedly said they got it fixed, however I still never had continuous hot water. Today, I'm thinking someone removed it. I'm surprised the shop I took it to didn't tell me someone removed it and put plugs in and cut the wires. How can I possibly have had continuous hot water ever without a stir pump. Not possible is it?
Roger Bourke tells me that the HHE 500-4M didn't come with the stir pump but decided it needed to be modified.
Bob Jae was kind enough to sell me one off his old unit. Hopefully this will solve my hot water running out issue.
I'll post updates once I get it installed.