Reseated everything, no difference.
Did you lift/re-seat the board-to-board gold fingers?
Could this be the ROM issue?
Possibly.
Looking at the schematic, I see that it uses
ICM7218s (U29,U30) which has an 8-byte memory and handles display multiplexing automatically. So it is possible that the CPU crashed/stuck after booting. After pressing the LINE button, you should first see "HP3456", then the GPIB address like "Add003 0", then six dashes "------", then the readings are shown.
See
this BAMA link for ROM pin info and hi-res service manual.
See ROM mod and image
here.
You could check for clock or other activity on the CPU (see
datasheet).