I think it's more that there are times when frequentists claim there isn't an answer. It's very common for statistical tests to talk about likelihood. The likelihood of a hypothesis given an experimental result is defined as the probability of the result given the hypothesis. If you want to know the probability of the hypothesis, you take the likelihood and multiply it by the prior probability. Frequentists deny that there always is a prior probability. As a result, they tend to just use the base rate as if it were a probability. Conflating the two is equivalent to the base rate fallacy.