Statistical methods are used by courts all the time. Whether frequentist or Bayesian or some hybrid they aren't portrayed in TV dramas about courts. The audiences don't want to hear about the statistics and the writers don't understand statistics.These are the sorts of where you get scenes like two people typing on the same keyboard at once.

Also, the court ruling in question seems to be against Bayesian methods as far as I can tell from that article. But it may just mean that people are going to need to be much more careful about stats in the British court system.