txnese wrote:
...took the “solenoid to starter” cable off the solenoid and applied 12 volts. Nothing. Shouldn’t the starter try to spin?
You applied +12VDC direct to the cable powering the starter. If both ends of the cable are good (the terminals and the connection to the starter motor), then it should try to crank...IF... the -12VDC (the ground) is good, all the way back to the battery.
When you did that, did you get a "healthy spark" indicating there was a goodly amount of current being drawn? Some of your comments about Voltage Drop indicate that the Starter is drawing Current but not Cranking the Genny. No Cranky, Correct?
Just had An Epiphany: It hasn't happened to me, but I've heard of 4KY's stopping with their ONE PISTON at Exactly Top Dead or Bottom Dead Center. When that happens, the Crankshaft that the Starter is trying to turn, has pretty much Zero Leverage against the friction of the Piston Rings in the Cylinder Bore.
The fix was finding a spot to poke a socket wrench into the genny, get the right size socket on the flywheel nut, and just budge the crankshaft. You aren't trying to "crank it." Just getting it "off center." Your starter might just then roll it over. Hold the Start/Stop switch in "Stop" before you try to crank it. Will run the fuel pump and get the carb primed with gas. Increase your chances of it actually starting.
There are OP's here who can tell you the socket size and how to snake it in there.