Dear Been there --
Thanks for the advice.

All the competent HVAC repair folk live 90 miles away in Albuquerque. The jumpering trick is good to know when your furnace goes out on a cold Friday afternoon -- and I thought it could be helpful for more DIYers to know about it.
I am having trouble understanding what could be wrong with my installations. One is in a relatively small closet. The other is in a big closet with a large plenum beneath -- plenty of ventilation. The small closet installation might possibly be too confined, though it too has a nice plenum beneath. My thought was that those switches have a natural life-time -- which is a few years. I also don't understand
why only one of three switches should fail if there is a real problem.
Nonetheless, as I posted I thought I might look like I was ignoring a real problem -- which is certainly not my intent.
I'll take your advice and get a pro to look at these.
In the meantime -- I recall trying to buy replacement switches on my own a year ago -- and the Rheem site won't sell to ordinary homeowners. Do you know a place to buy these fiddling types of furnace parts?