Are there “live” uses of the Generalized Method of Moments or are they all academic?

I see the Generalized Method of Moments suggested in numerous academic papers as a way to calibrate stochastic volatility models. However, any decent trading shop is going to calibrate to observable option prices instead.

Are there any places that have used GMM in an actual trading context, say in some market where historical time series are obtainable and derivatives prices unavailable?

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Mathematically, it's known that historical vs options calibration is equivalent to observing an asset through two different probabilities (historical vs the neutral one). This is why you will observe Apple's trend around $\mu \approx 45\%$ under the historical proba instead of the lower interest rate in the neutral world.