There is one valid argument against the current immigration policy but it's never been put across by any of the leave campaign, it has also never been properly explored by the Government.
It is Housing and Infrastructure against population growth. The Public Services and Infrastructure shortage problem is big, but nothing compared to the housing shortage.
There are not enough affordable homes and social housing to cope with the current population, you then have the annual growth in population and then on top of that again you have immigration adding over 300,000 (EU & Non-EU).
In May 2014, Mark Carney, governor of the Bank of England, complained that housebuilding in the UK was half that of his native Canada, despite the UK having a population twice the size. The consequences have been rocketing prices in London, the South East and some other parts of the country.
Current estimates are for 300,000 or more a year being built to just and try and catch up with the shortage.
Now the problem is not the immigrant population themselves, they add more to the economy than they take out and are very hard working, it's simply a matter of numbers. We don't have enough houses, it's that simple. This is why you find cases of 10 EU nationals living in a two bed house and landlords converting sheds to take advantage of desperate people and then charge them the earth.
Now if the Government and the EU as a whole, actually looked at the numbers, looked at which countries were affected the most and planned in advance, even just slightly, buy building more homes then the problems would never have been so bad.
If our Government had said at the last election they would actually put even more money in to housing than they did and got going with the actual building in a quick manner, things may have improved.
If the EU could have allowed a temporary block or cap in countries that are struggling with a housing shortage this could have allowed them to ficus on getting homes built for the current population and then start for the future immigration population. If this was temporary reduction or block with a promise to reinstate ASAP then there may have been less misplaced hostility towards immigration. Obviously refugees and asylum seekers would still be allowed.
But the EU refuse to budge or compromise and how the freedom of movement works for the UK and the rest of the EU. They just open the borders and expect each country to just deal with the numbers.
If immigration had been argued in a grown up manner and the Government (including the last 2) responded by listening to concerns and identifying that overcrowding was a big problem, made worse by the housing shortage then promised to act, some of this could have been avoided. But 'immigration concern' has been too difficult for all politicians to talk about and get to the root problems.