The situation in Northern Ireland may be a template for how outlawing sex work in England might operate in practice.
So far as I can gather, the Northern Irish police have not been enforcing the law except in a couple of cases where potential punters acted egregiously, justifying their inaction on the grounds of 'evidential difficulties'. They are correct, of course. The escort's testimony would be a great help to the prosecutors in securing a conviction but, of course, why would the girl want to do that?
In any case, the police forces in every part of the UK are under cost pressures. If Parliament saw fit to invent a new crime, it would have to make funding available to the police and prosecutors to apprehend the new class of criminals. Is this likely?
Sweden introduced their 'model' years ago, but if you Google 'escorts Sweden' you'll find hundreds listed. Also, the number of dodgy Thai massage parlours have actually increased. The only 'success' of the Swedish model has been to take more girls off the street, an area of prostitution which has been on an historic decline in any case in the UK.
So, even if they do ban prostitution here, I shall not be hanging up my condom just yet. The industry will find new, discrete, ways of working; and so shall I.