No, freshwater fish apart from predatory fish have never been on the menu in the UK, top feeding fish like trout or pike but never tench, bream or subsequent to the Romans, carp. The BBC article relates to one site and even there is a possibility that the aversion to fish was due to fecal contamination causing illness. In East Anglia scales from sea fish were common however apart from trout other local fish was not present in middens.