You are right, in your case you were likely estimating the parameterizations but it is akin to an estimation of expected implied volatilities.
The density can be useful but in my opinion for your use case not in the way you derived it. Look at the larger picture, you are essentially using market IVs to derive the density of an underlying continuous random variable that is also market driven. What edge are you expecting to derive from that? That's why I mentioned that such approach is often times used in market making of otc options, hence likely of little value to you. What you want is the density that is derived from non-traded metrics. That can then be used as foundation for a model that outputs the deviation from traded levels and at which you then decide to buy or sell volatility.
Density derived from non-traded metrics. Interesting.
