I changed the coil, & it started & ran on the very 1st pull--even w/out using starting fluid. :biggrin:
There were a couple of things that made this so confusing & hard to diagnose:
1. The engine ran fine until after I performed a compression test, then it suddenly wouldn't start. Apparently that was just a very misleading coincidence.
2. I was still getting a spark both when I used a spark tester & when I grounded the spark plug to the engine. Obviously, it was an *insufficient* spark. I'll remember that lesson for future reference.
My experience confirmed what I'd read on the Internet: Kohler XT series engines are known for the ignition coils going bad. You guys might want to file that factoid in your mental Rolodexes.
Finally, a heartfelt thank you to those who took their time & gave me the benefit of their knowledge to help me solve this maddening problem. I *really* appreciate it. :thumbsup: