Alright, courtesy of the long holiday weekend, I got to spend some time on this. Upon very minute inspection of terminals 1-5, I still didn't see any solder joints or anything that looked the least bit suspicious. All the resistance, capacitance, and continuity checks I did all check out fine (the two resistors and two capacitors appear to measure normally when removed, as well).
I went ahead and sucked the solder out of all five terminals (top and bottom, where used) and re-flowed them all with fresh solder, making sure to get them hot for proper flow and that they cooled slowly to a nice shiny patina.
All the resistance and voltage measurements still checked out within specs and effectively the same (a few changes after the decimal point here and there), so I put the stock EH tubes back in and fired it up. I am now not able to reproduce the volume/balance issue by loosening or tightening the terminal mounting screw - or via (very careful) physical manipulation of the terminal strip itself. After leaving the Eros on all day to ensure it was good and hot, and after ~5-6 hours of listening without any issue or change in sound, this appears resolved!
Of course, given this was a very intermittent issue, at least to begin with, I won't be completely confident this is truly fixed until I have several dozen hours of listening under my belt without issue. But, it looks good so far!
I really wish I knew exactly what was wrong. Given the components involved in terminal 1-5, I'm at a loss for even theoretically how a flaky joint would cause this specific issue, but I'm far from solid enough on the ciruit theory to really know.
Thanks to PB and everybody else for their time, help, and attention.