A bayesian model will use previous data to calculate probabilities, so using AI to calculate a survey based on previous surveys sounds like a logical evolution no?
That's something you might typically do by hand when running a survey and, say, comparing it to a benchmark.
The problems will be similar to most AI problems I suppose: people who don't really understand the limitations of AI or the results it produces take the output of AI as gospel.
My own thought is: what does it mean to 'simulate' a survey if the outcome is that people treat it as a 'live' or 'empirical' one?