Jarrod...
My grandfather's Waterloo Boy ran this combination. Prior to WW2, 'distillate fuels' were very common... moreso (and less costly, and less volatile) than gasoline, so it was popular, but as others noted, you pay a horsepower price.
With low-compression head, the Kohler singles will run on Kero... Notice that older dual-fuel engines ran in the 6:1 CR or lower range. If you're gonna do this, you'll NEED to retard the spark... IIRC the 'factory suggestion' was to set point gap at 0.05" WIDER than stock, but if I were to do it, I'd certainly adjust it by ear. On older engines, the spark timing was controlled by a hand-operated lever (on my dad's Model A Ford, it's the lever found in the position you'd normally attribute to the 'turn signal' position.
You'll find that it just won't start without running it on gas. You'll also find that unburned kerosene will find it's way into the crankcase. You'll probably also find that the washing effect of the kero (leaking past the rings) will cause the bore to wear faster. Engine heat was higher... bad for a hot day, but good, in the respect that it helped warm the intake charge and make it burn better.
And nowdays, kero ain't cheap... most places that HAVE distillate fuel, carry it for heaters and lamps... so it'll be K1... kinda pricey for puttin' around the yard. Times change!
BTW... Kohlers were also capable of LPG and CNG operation using a 'mixer'... on the K-series, the LPG head was HIGHER compression...
If you come across one of those tanks, and have an urge to add it to your Original, or 100, to give it a 'nostalgic' look, go ahead and put it on... but put gas in BOTH sides. If you take a shot-glass of K1 or Diesel, and a shot of Marvel Mystery Oil, you'll get the same nostalgic aroma (and burning eyes), without the danger of destroying a newer, higher CR flathead.
DK