It's hard to gauge the actual public opinion, but the vast majority of the media (mainly right wing, pro-Tory, pro-Brexit and anti-EU) would have a collective fit and go into overblown hysteria at just even thinking about this.

There was already insane headlines from the usual suspects in the media just because someone vaguely suggested considering having a slight trading agreement with the EU not that long ago and the far right section of the Tory party went into collective meltdown and shouty abuse at the idea that we "give in" to the EU or we "weaken" our "supposedly" strong trading position.

For certain far right sectors in both the government and media Brexit is still some religious concept that must never ever be spoken against or they will rain down hellfire and brimstone from on high on the person that dared to suggest reality is involved in anything like running the country.... sunny uplands with unicorns farting rainbows while singing Rule Britannia! is the only way of life that these fuckwits will ever listen to