If the points raised by the OP are nitpicks, then I guess it doesn’t matter to you that the sampled (D’) distribution is very close to some easily definable theoretical distribution (D)?

If so I can easily illustrate this “good enough quantum supremacy” in my own home and on a very limited budget. The simple reason is that it is absolutely trivial to set up a physical experiment (quantum or not) where it’s very hard for a computer to sample from the distribution of possible outcomes.