Pangloss thanks, this is a big help. No I haven't tested the solenoid itself yet, but am planning to before spending any more money. Your description of the official service procedure does seem to match my situation. The service writer stated the solenoid can't be replaced separately from the entire shifter -- I'll assume he was misinformed rather than lying. And the writeup explicitly states the solenoid is bad. Again I'll just assume error.
So if we take this as a clue that something else is wrong in the electrical system, it's an especially tasty clue now that a new and worse electrical problem just started two days ago. I'll post it separately, but basically it involves bizarre behavior among the O/D, O/D light, coolant light, wipers, brakes, defroster, and possibly the clock light bulb which just burned out.