Still thinking. You said you had to do some work on the input tranny. If there is a possibility it is damaged, you could disconnect it and apply your signal directly to the S1a deck. That would be simple if it has wire leads, harder if it has PC pins, but doable. OTH, it is hard to imagine any damage to a tranny that would lead to a distorted waveform that looks so much like serious overdrive.
Distortion is present at all gain settings, both on the stepped gain switch and all positions of R19. Stepped gain switch behaves normally at each position (in terms of adjusting level). All joints on this switch (SW1) have been reflowed twice.
I missed this earlier. Do not get the wrong idea here -- I believe you -- but the part about the switch adjusting gain properly
and the distortion being present at all settings
and reducing the input signal makes the distortion go away (from an different post) is incongruous. The only conclusion I can draw is that something is wrong somewhere where it is
not affected by the gain setting, exactly the opposite of what I was convinced had to be the case earlier. IOW the problem is independent of the gain setting
but dependent on input signal level. (Excuse the italics; I want to emphasize the logical interconnection of these statements.) That said, if you scope the collectors of Q1 and Q2 and the emitter of Q3 and maybe the collector of Q4, you might be able to determine the stage where the distortion starts. My thinking here is that one stage has a lot more gain than it should, and that points to a problem in the part of that gain setting feedback network that does
not include S1. That network would probably require some serious simulation to understand, but I would be suspicious of all those Rs and Cs wrapped around Q4 and Q5. because I cannot wrap what is left of my brain around it.
If the suggestions above can locate the fault to the neighborhood of one transistor you can maybe hone in on one small area, though with global feedback that may not happen; e.g. you may see the same distortion through the entire signal chain (as has been my experience), but it's worth a shot.
Your checking thus far has ruled out wrong part placement and the PCB construction makes miswires nigh on impossible, but you have not ruled out defective parts, which is your most likely problem.
I also noticed, from the same post quoted above, you verified the values of all resistors, I presume by checking the color code. The time will come you have to desolder some of those parts and verify by measurement they are the correct value. I tried to say this earlier -- resistors and caps are jellybean parts and that means they are likely suspects.
Manufacturers have honed the process to the point that resistors only get spot-checked on the way out the door, probably caps, too. How many do they sample? 1 in a hundred, or a thousand, or ten-thousand? I dunno, but I do know that I have pulled enough open and off-value resistors out of stock over the years that I ohm out each one before it goes in a board. If the manufacturer finds a defective resistor in a lot they have a choice: burn the lot or check them all and see how many they can salvage. In the US, back when we made resistors, they just tossed the lot; the labor was too expensive to test 100%, but that was the 80s and this is now and China makes our resistors and testing can be automated so maybe I'm just blowing smoke. YMMV. Those with more recent manufacturing experience may have more valid opinions than I can offer on the subject of commodity parts quality bought on the spot market, where most hobbyist parts come from.