I guess you have me thinking more... things like Parzen window estimators or other KDEs are frequentist...
But while it's a probability distribution, to a frequentist they are estimating the fixed parameters of a distribution.
The distribution isn't generative, it just represents uncertainty - and I think that's a bit of the deep core philosophical divide between frequentists and Bayesians - you might use all the same math, but you cannot possibly think of it as being generative.