I very meticulously slipped some custom-cut, 5mil shim strips down each of the splines and managed to get the spindle assembled to the pulley. It has indeed eliminated the rattle.
But, of course, my downfeed won't work. Pulling the strips even after the pulley-assembly is fastened down results in the rattle re-emerging. Still, this is progress, methinks.
I keep coming back to the question of how they assembled this at the factory? trial and error? Seems crazy but what do I know. There's still always the possibility that I messed something up during the refurb too.