I suspect it has everything do to with the pre-regulator's LM393 comparator and its open-collector output. I found this flaw years ago and posted about it at least a couple of times. I fixed mine up nearly 8 years ago.
p.s. good work finding the flaw and fixing it. Most people wouldn't look for a blatant design flaw in an HP/Agilent device.
I've read your link and re-read the schematic of the TRIAC control of output #1.
From what I understand, I wouldn't call it a "blatant design flaw" but I may be wrong of course.
And I would be very interested to learn what is your fix.
Here's my analysis: it's just one LM393 comparator (U18B) that turn on a PNP transistor (Q9), which turns on the TRIAC (Q5) through an opto-isolator, if a threshold is crossed.
The reference voltage (threshold) at pin 6 (2IN-) should be -2V (R57/R58 voltage divider).
The output voltage to compare (2IN+ at pin 7) is multiplied by a ratio of about 0.23 through voltage divider R59/R60.
So threshold voltage should be -2 / 0.23 = 8.69V.
U18B output (pin 7) sinks current if 2IN- > 2IN+, so TRIAC should be on if output is above 8.7V, makes sense.
Otherwise the open-collector stays open (high-impedance) and Q9 is off.
In a perfect world, we would stop here.
I suppose R62 (562k) is here to supply enough current to the collector of U18B output NPN transistor so that base current from Q9 cannot leak into it.
My guess would be that the open-collector is not "open" enough, that is its high-impedance is not high enough, so enough current flow from Q9's base to turn on the TRIAC.
And/or that Q9 is too "sensitive", and a very small leakage would be sufficient to turn on the TRIAC.
One way to solve the problem would be to lower the value of R62. This would be a the expense of the "precision" of the R59/R60 voltage divider, but we do not need a particularly threshold point.
So if my analysis is not completely wrong, I would say that HP/Agilent/Keysight design is not completely flawed.
But may be they did all their testing with a certain batch of Q9 and U18, but actual component used in production are different.
And the selected value for R62 is not conservative enough.