I distinctly recall that the omertà on this particular issue predates Brexit ... by about 15 years. There was a brief outcry when the EU constitution was ratified before the topic suddenly and mysteriously vanished from public discourse (at least, insofar as such discourse took place on mass media).
Ye ok I was too young at the time to notice. I agree with the phenomena though. Unless you look you don't notice really. It is like if someone presses a switch and the consensus changes for no reason at all.