To be clear about the operation of the A442F transmission: there is no "limp mode". The transmission either works or it doesn't. The TCM (transmission control computer) has no special programming for limiting the operation under any conditions. This is true for every 80 series Land Cruiser. "Limp mode" is a safety feature built into late model computers which operate to control the engine fuel economy by controlling the transmission. The 80 series, and the early 100 series too, have no such features.
The transmission control logic is very simple; it'll operate without the combination meter connected. The TCM doesn't "see" the meter at all; that's there only for you. That's why there are 2 speed sensors.
1st question (and I almost hate to ask this one): did the transmission operate properly before any work was performed? If not, what was/were the problem(s)?
2nd question: what are you calling the "VSS"? The vehicle speed sensor? If so, which one? There is one for the speedometer (the number 1 speed sensor) and one for the TCM (the number 2 speed sensor). I assume it's number 1? (just trying to make sure we're using the same words for the same parts, not picking at all)
3rd question: what work was performed on the transmission and shift linkage, prior to the problem you now have? Was the transmission/shift linkage removed?
4th question: when you inspected the pigtails (sub–harnesses), was the inspection limited to a visual check, or did you verify that the harness(es) had continuity from end to end?
5th question: were you able to verify that the solenoids are actually working? You can bench test them.
And, finally, this from the service manual:
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I add this just to say that, since the A442F is not fully electronically controlled, you may have more than one fault.
IF the problem is a shift control problem, meaning the transmission will not shift from 1st the 2nd, it could be the solenoid and it could be the spool valve, and it could be both.
However, if the shift problem is a linkage problem, you may have both a pigtail error and a simple mechanical mis–adjustment.