Again, kudos, Mike! You're going well above and beyond. You are wearing glasses and a bow tie while doing these tests to validate the results, right?
OK, now I'm cornfuzzed. The wire should be a linear representation of the alloy. The resistance should be linear across the full length of the coil wire. The coil temperature is determined by the resistance of the wire at a given temperature. So what this would seem to indicate is that the coil resistance is not linear due to the effect of the multiple wraps concentrating heat on the center wraps causing a non-linear effect on the resistance of the wire.
I will say, from the photo, that last wrap where the thermocouple is doesn't look as tight to the wick as the rest of the wraps.