Veery interesting. I never thought about how the distributor created the internal resistance it is specified to have, but one can assume it's some kind of thin-film resistive trace. These type traces can certainly change resistance with age, temp, stress cracking, etc. I dug out an old used rotor/cap and measured resistance.
I found consistent 1.1K ohms in the rotor just as you said. But, I also found 1K in the cap from the internal cylinder 1 contact to the external #1 plug wire connector? if that is the actual case, then individual cylinders could see misfires if the internal traces in the cap opened up and became more more resistive?

Then again, maybe not; the resistance to jump the plug gap and the rotor-cap contact gap is orders-of-magnitude greater than would be a crack in a trace in the rotor or cap. But..... I've seen auto ignitions systems seemingly defy all the laws of electricity.

Haven't had a new cap/rotor in many years, think I'll try it.

DG