But seriously, folks...my first task at the railroad museum was to help repair the old Ford tractor. It had a water pump shaft that had been worn in two where it passes through the front grill, or something like that, can’t recall exactly.
There was a left hand thread on one end, and while I had never cut one, my old Logan has a lever to spin the lead screw the other way, so I did that and cut the thread left to right, otherwise exactly as normal.
There is no need to use an upside down tool as was mentioned previously.