So I heard back from the sawmill manufacturer, and their recommendations jive with this forum and the math I found online -- so thanks, all, especially for that Locked Rotor Amperage (LRA) tip! I'll share the math and what I learned...
Learning more about LRA lead me to this website, which was especially helpful:
https://generators.smps.us/start.html
https://generators.smps.us/surge-current-calculator.html
From there I learned:
The NEMA Code on that nameplate picture is listed as "G". And this Code corresponds to a table used by the "National Electrical Code" which yields the LRA based off the nameplate horsepower rating (5hp). In this case, Code "G" is expected to have "inrush" surge in KiloVoltAmps (kVA) to be 5.6–6.29 times the motor's HP. That would expect surge power to be:
28kVA -- 31.45kVA
Divide that by 230V used by the motor, and that *would* yield a starting current (LRA) of about:
122A -- 137A
These values are accurate for mains power. But does that mean I would need a 28kw genset?
The answer is "no" because of "voltage sag". The generator, unlike mains power, will result in the voltage "sagging" by the appliance (sawmill). According to that website:
"Most residential appliances can start with up to 30% voltage sag, that is at 30% lower currents."
We know that:
Power = Volts * Amps
and also V = I*R
A 30% sag in voltage and 30% resulting lower current would mean the surge wattage to run this mill on a generator could be somewhere around:
230V*(70%)*122A*(70%) = 13750w [low estimate with sag]
230V*(70%)*137A*(70%) = 15440w [conservative estimate with sag]
The company recommended a 15kw generator, and if that didn't work, trying a 20kw - 24kw generator.
They also recommended wires:
10awg up to 50 ft.
8awg up to 80ft
6awg up to 125 ft.
It's hard to come to mental grips with, as the gas motor of this sawmill model uses a 6.5hp Vanguard engine, and the Coleman generator is using a 9hp Vanguard..but the generator is presumably insufficient! That's trons for ya'. Thanks all 👍.
P.s. I've decided against exploring a soft starter or hard start capacitor, as I wouldn't want to void a warranty! Additionally, a key factor of electric for me is not regularly dealing with the nuisance of fuming gasoline engines. So mains power it is!