Welcome to HEF Combatoven
I don’t have a 580SR service manual, but typically the pilot control faults are in the Hydraulics section.
In any case, there are just 4 faults the LED will report, and the condition you are seeing (4 seconds on, then brief off) is the normal (no fault condition).
Before going too far, it is not exactly clear when you say “No Backhoe Pilot controls are working” in the context of replacing the control module.
Specifically, the control module only controls 3 functions. Stabilizers, extend-a-hoe, and auxiliary hydraulics (if installed). Pilot control movement of boom, dipper, bucket, and swing are not involved with the control module.
Therefore, if you have no pilot control of boom, dipper, or bucket functions, the issue could be safety interlock related, or hydraulic, or damaged wiring, not the control module.
If the issue is no pilot control of stabilizers and extend-a-hoe, then observe the LED on the control module after attempting to move the stabilizers/extend-a-hoe and see if a different code is reported. Make sure the vehicle is in a safe state before observing the LED. Post the new code, and we can see where that takes the investigation.
It might also be worth noting that switches for stabilizers and extend-a-hoe need to be in the center/neutral position at key-on. Therefore if a stuck switch is present, those functions will not work.
Not sure if this helping. Post a little more information of what you are seeing and more than likely someone on this site will have more knowledge than me as to how to address.