Ahh, now you add that important little piece of info...Advanced Hand Controls. That's a completely different animal. I've not even had the pleasure of working on one of those units. However, I've stumbled across the PDF manual for 873, and from what little I've absorbed from it thus far, if you have a fault with AHC controllers, wiring, or actuators, you would be seeing flash codes at the LED lights on left control lever. I haven't found anything that specifically describes your situation, but you said upon ignition power up, all BICS LED's come on then go off (probably a self test), then power LED stays on, drop bar and that LED comes on, push the traction lock button and that LED comes on, but you never get the LED for lift/tilt. The only thing the BICS troubleshooting says about that is "AHC has detected a diagnostic condition OR Hand Controls not in neutral when engine was started". And since you have no flash codes at the control handle LED lights, such as 1 flash indicating controller not in neutral on start up, that kind of indicates you have a problem with the AHC module.
Additionally, according to what I see in the manual, when you turn on ignition switch and power up the AHC module, the left LED should light up for 1/2 second, then the right LED should light up for 1/2 second to indicate LED lamps are operational. If you're not even seeing that then you may have a problem with AHC module or AHC module is not getting power input.