This is out of a service manual so at least I know it's a real problem with a solution. I'm very unlikely to have it fixed though.
Subject: Backup Memory on AVR/DPR/HK series receivers
In the event of the complaint: “the receiver is losing its memory (any programmed system settings)
when the unit is turned off, or after the unit is unplugged (briefly*)”:
Check and replace:
Model Designator Location Description Part number
AVR430/630 C657 DSP PCB 0.047 Farad 5.5v capacitor # CEZXA0479MN-5