Probably needs more deoxit and lots more twisting... Use rags to control deoxit overspray, don't touch rotary switch contacts - they bend and then you're screwed.
With clean pots, the most likely cause of channel imbalance that evens out with higher volume is a protection relay with old damaged contacts.
You can try temporarily bridging the contacts to see if that brings up the volume, but the best strategy on a unit that old is to just replace the relay. which is a bit of a job -
The old case type isn't really available, and there's a whole thread dedicated to it.
BUT I have found a relay that while it only has two sets of contacts instead of four (stereo only needs two sets), it is a SNAP-IN fit to the old case.
Of course you have to get the wires from the old relay core to the new relay core.
Usually I document the heck out of the wires , colors and connection points on the old relay, then cut the solder tabs with the wires attached off the old relay one at a time, make additional cuts in the tab to easily remove the rest of the tab with desoldering heat - the paramount consideration is to NOT HEAT DAMAGE the wire OR it's insulation. Once all are free, I install the new relay mechanically, then one at a time mount and solder each wire - it's EASIER that way to get the solder iron in without damaging any wires...
You could try opening the old relay and burnishing the contacts with mild abrasives but that only buys you weeks or months until it needs a do-over... and to get atr the contacts is almost as much work as replacing it.
This is the thread with pictures:
http://www.audiokarma.org/forums/showthread.php?t=150439
here's my info on the snap-in relay:
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----------------------- ly2f-dc24 -------- top ears wide tabs --- ~ 1 1/4 standoff -----
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---- DPDT ------------- omron ly2f-dc24 mouser part number 653-ly2f-dc24 ---------------
----------------------- dpdt 24v no suppressor or indicator ----------------------------
---- EARS ------------- ears on top of case --------------------------------------------
----------------------- solder tabs ----------------------------------------------------
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