Ah yes.... a flood of unskilled eastern europeans which the country can't do anything about (who mostly came over to do jobs that the Great Unwashed simply WON'T do because they're better off on the dole) leads to a kneejerk reaction which effectively bans every other category except the ones at the centre of the complaints (categories who don't have access to council housing, benefits, etc and who are mostly skilled people doing jobs the Great Unwashed CAN'T do because they mostly can't be bothered getting off their asses and getting some training.)
For all those moaning about skilled foreigners being cheaper, therefore reducing incentive for employers to hire locals - for the most part those foreigners have had to entirely fund their own training/education, unlike here. That they're cheaper is a myth - employers can't take on foreigners unless there are no suitable local applicants and they have to pay some fairly stiff fees to the home office to get them approved.)
It's been pointed out repeatedly that 80-90% of the housing shortages in the southeast are a result of _internal_ migration. Imagine the stink kicked up if people get told they can't move from Manchester to London to hunt work.