OK, a little history lesson...
It wasn't until 1968 that the federal government set radiation exposure limits for consumer devices. With microwave ovens becoming popular and GE's color TV x-ray debacle, the feds got busy. The regulation set exposure limits for new and 'broken in' microwave ovens and also required two forms of interlock. As far as I can tell, this mechanical lock was Amana's solution. The rules went into effect Oct 1970 so the timeline matches.
Of course other manufacturers were playing with similar locks or dual interlock switches, but unfortunately the probability of dual interlock switches failing was surprisingly high, especially if both were in series and an overload occurred. One study found 600 units of a popular model to have at least one shorted switch, and 60 of those had both switches shorted! Because the switches are typically staggered, it would be possible to get a brief, high impulse exposure even with the one failure. A company that rhymes with Feneral Selectric had a lot of issues.
This happened to occur the year before the '70 rules went into effect and started a lot of people thinking. New rules were drafted that required dual switch interlocks that were capable of being monitored, and if either or both failed, the machine was required to become inoperable. While just as safe, Amana's mechanical lock wasn't going to meet this requirement, and was redundant if a monitoring circuit were added (as required).
I don't know when Amana stopped making the 3H, and I've only ever seen one other example (in addition to the remains of a panel I have) It has a plastic screen liner and glass inner door like the 4 and 4D, but is the only model I'm aware of with the LOCK slider. I've gone through the literature and haven't found any reference to a straight up 3, either. Interesting stuff!