Do I have a short or a bad ground somewhere?

How old is your battery?

Has anyone autopsied any of the failed generators to determine what failed? Are there any major engine oil leaks?

Did you test the charging voltage? Was the harmonic balancer checked?

A small leak shouldn't be a problem. Depending on the location of the starter and the generator, large leaks can cause oil to run inside them and deteriorate the brushes. They will soften and crumble very quickly. That's where the autopsy is of value. Repeat failure is less then six months is common.

If the battery is more than about two years old, it's "internal resistance" goes up. While it will crank the engine just fine, it loses its ability to dampen and absorb the voltage spikes that some generators produce. Those spikes can destroy the generator's internal diodes and voltage regulator. That has been a really huge issue for GM vehicles since the '88 model year but it can happen on any vehicle that has the voltage regulator built into the generator. To handle the control of the relatively high current for a transistor circuit, they use a "switch-mode" circuit which means the small current feeding the generator to make the magnetic field is turned full-on, then full-off hundreds of times per second. That is exactly how an ignition coil works, and a voltage spike is induced in that coil in the generator just like it's produced in the ignition coil. The difference is one is needed to fire the spark plugs and the other one is destructive. If you have another vehicle that needs a battery, consider putting the one from this vehicle in the other car and buying a new battery for this one.

A bad harmonic damper would reduce the alternator output. If there is a fault with the main wire from the fuse box to the alternator, the altenator would be charging but the charge would not be getting to the batery.

If the new alternators you meant were rebuilts, not surprising to be replacing them every few months. If you have a lot of accessories, it is better to look for a higher output alternator.

I don't think a higher output unit is the answer. By their nature they can't develop more than their design current. They self regulate in that respect. Even if it's running wide open from lots of accessories, it should be able to handle that. If one diode overheats and shorts you'll lose exactly two thirds of the output capacity but it will still charge a little.

I discounted a slipping outer pulley on the harmonic balancer because each new generator works for six months. I think by now the pulley would have torn loose and fallen off or made noise. Should have been weak power steering too.

Back to my comment about the battery. It is not a problem related to good or bad. It's strictly an age thing. The GM vehicles have a lot of repeat generator failures that can be reduced by replacing the battery when it is as little as two years old. They still work perfectly fine and will not cause a problem in 1986 and older cars with the better generator design.

That wire between the generator and battery is a good suspect too but besides the connection itself, I'm guessing it goes through a bolted-in fuse in the under-hood fuse box. Check that the fuse bolts are tight. Even before you disturb them, with the engine running, measure the voltage on the generator's output terminal, then across the battery terminals. Those two voltages must be the same. If the voltage at the output terminal is significantly higher, there is a break in that circuit and the output current isn't getting back to the battery.