Update: I found the rattler; It was a small ball of metal caught in a pocket in the glass.
It won't do much harm, but after all of the messing around, I measured the electrode resistance.
It was 2.2 Ohms for each filament, and I will try to forget about this bulb because it's been a really stress causing one.

I will get another bulb or another one tomorrow.
It looks like some of the leads are almost touching.
Let's forget about this circline lamp now, and pretend it never happened.