Well, I'm completely stumped. I confirmed my resistance reading on my sending unit. Not dead-on to the spec, but within 3-4 ohms at either end of the scale. No dead spots throughout the range either. I changed gauges, and get exactly the same reading on either one. I got exactly the same reading as in my last post.
So I hooked up my test light to see if there was a regular pulse. With the test light grounded to the body, and the probe in the connector at the kickpanel, the gauge steadied out. With the float arm at empty, the gauge read a quarter, with the arm at full, it read 3/4. What the heck is going on here?