What's wrong with a little bit of chlorine in the chicken? That's the question splitting the cabinet as far as a US-UK trade deal goes. It also goes to the heart of Britain's post-Brexit dilemma.

As far as public health goes, both chicken slaughtered and sold the American way and chicken in the United Kingdom and the European Union are just as hygienic by the time they end up in supermarkets. But banning chlorine-washing means that the entire production chain, from farm to abattoir, has to be cleaner in the UK and the rest of the EU than in the States, where farmers know that no matter what happens to the chicken, that chlorine bath will absolve all manner of sins.

The EU's own research concedes that there is no public health difference. The problem, both in the rest of the bloc and the UK, is voter resistance: among French farmers and shoppers across the EU27. We all know how British people are about animal cruelty – not that they're so het up they won't actually eat them you understand – and any change that makes it easier to treat animals worse is going to be politically painful for the government.

In the long-term, changing our regulations to US standards also makes it harder to sell into the European Union. It's not a choice where you can have the best of both worlds but one where ultimately one market may preclude the freest use of the other.

And without wishing to offend any poultry farmers among our readership, this is a fairly small issue as far as the average British voter goes, even allowing for the UK's thing for animals. Just wait until things like “the NHS” start to be used in the same paragraph as the words “trade deal”.

One criticism that Brexiteers make of the EU is that it takes such a long time to strike trade deals. But the real problem isn't the bureaucracies of the EU – but the fears of voters. A cabinet clash over chicken is only going to be the beginning.