Quote from dmo:
It's true that fixed strike vol is less volatile than VIX. But fixed-strike vol is a poor comparison. Let's take that 900 put as an example. As the market drops, the demand for convexity increases, driving IV on the 900 put up. But at the same time, that put is now less OTM than it was, which "dampens" its rise in IV.
To test what you're saying, I'd have to compare apples to apples, which would be better done by comparing the 900 put to the 880 put after the SPX drops twenty points. Still not perfect, but closer.
I've never done that, so I can't say the rise in IV still wouldn't match the rise in the VIX. Something to look at one of these days.