I'm not well versed enough, but what would a frequentist generative model even mean?
The entire generative concept implicitly assumes that parameters have probability distributions themselves that naturally give rise to generative models...
You could do frequentist inference on a generative model, sure, but generative modelling seems fundamentally alien to frequentist thinking?
I am more familiar with Bayesian than frequentist stats, but given that they are mathematically equivalent, shouldn't frequentist stats have an answer to e.g. the loss function of a VAE? Or are generative machine learning inherently impossible to model for frequentist stats?
Though if you think about it, a diffusion model is somewhat (partially) frequentist.