I have just repaired my 3325B with a similar issue.
The ribbon connectors may be worth visiting again but not with contact cleaner but a close check on the solder joints into the pcb?
I could temporarily fix the startup fault by 'jiggling' the ribbon cable but next day the fault was back.
I removed the board and looking underneath I found grey circles of crystalline solder around many of the pins.
I re-soldered all the pins and the fault was fixed.
Not sure if the same cabling is used in the 3325A version but if it is, then check it out.
Dave