I did not take offense at all, hope you did not either. Just trying to find a reasonable answer and I think you are also. The chart you sent is interesting. It does say "alternator RPM" rather than engine RPM but gives a pully ratio as the alternator is turning at higher RPM than engine. If the engine is turning 775 RPM the alternator is turning 2250 RPMs and at that rate should be producing between 134 and 159 AMPS. Am I reading that right?
Well Good Morning Mr Jeeper

I assume "Mr" as I'm trying to focus in on your banner picture, LOL. Pretty cool pic by the way!
You are absolutely correct with your calculation. 136 - 159 amps at 750 engine RPMs (or 2,250 alternator RPMs). That graph however was to display the relationship between heat (ohms) and amperage output, since that graph had the 6.4L I grabbed it [perhaps I should not have] ...and I suspected that may make this more convoluted IF you actually looked into it. And you did do your homework, so kudos to you!
Here's the issue. I pulled that graph from a RAM Truck site. To figure out how or if the graph would apply to a Jeep 392 with regards to amperage output, I would need to know three variables. 1) The harmonic balancer/crank pulley size. 2) The alternator pully size. 3) The specs on our specific alternator, as alternators all produce varying amperage outputs even at the same alt RMP.
I did a search, but 392 data is very limited especially when really trying to get into the weeds on this stuff. (If anyone knows, please share.)
On the other JL Wrangler site there was conversation regarding the trailer tow package which led to the 220-amp alt verse the 240-amp alt. Again, applicable to the other Wranglers, but potentially applicable to ours as well.
There was an Alt Performance Curve graph there, though I can't cite the data so please don't beat me up, LOL. My intuition tells me it looks pretty accurate, but it does not identify cold vs. hot operating performance; however, it does utilize engine RPM verse alt RPM. So, it's a little more straight forward.
The red & green lines could be a little thinner but when magnifying the picture, it looks like the engine RPM starts off at ~750. When tracing the green line/220 amp alt line and sliding straight up, it appears that at 750 RPMs the amperage is holding good up to about 30 - 35 amps*, then it curves out of tolerance. On a side note, as I'm thinking about this, I have to assume this is at normal operating [hot] temperature, but only because my senses lean me that way, I could be wrong. It also makes sense as when my Tazer idles up to 1250 [if I recall correctly] in winch mode, it provides 90 - 100 amps.
* I'm not certain which ARB compressor kettanlann has, but the amperage draw varies from 12 to 50 amps at 72 degrees fahrenheit with the different ARB models. With a failing battery the lack of available power issue would compound as its ability to maintain voltage degrades; thus, more amps is required to power the compressor. Again, the lower the voltage the more amps that are required to power any electronic device. If your alternator is displaying 14 volts with a multimeter that does not mean your failing battery is storing 14 [or 12.6] volts for any real length of time.
Hopefully I didn't make this more confusing

But I do appreciate the conversation. It certainly beats talking to my girl about her vegetable garden in the back yard

. I'll deny it if you tell her I said that! LOL