Yes, you do because "overcrowding" is a relative term. There is more space, for instance, in the U.K. given over to golf courses than housing.
There are also fifty other countries worldwide that have a higher population density than the U.K.
We aren't even the country with the highest pop. density in the EU. - that's Holland.
This is just one bit of bullshit spouted by a Brexiteers to justify their stupidity.
So we should build everywhere and not care? Carry on building on flood plains? Dig up the countryside?
Did you know that we already have a vast amount of homeless people?
Look at the reasons you are giving to keep open borders. Just what is expected from those using statistics to say why the leave vote was wrong.
The truth is we can't cope with what we have now. Record homelessness. Hospitals that can't cope. Roads that get blocked all the time. We need the infrastructure to catch up. And who is going to pay for it all? Would you be happy for massive tax increases? The younger generations have it hard enough already.
I am one of the lucky ones. Still in my 40's. Bought my first house in the 90's. Nice 3 bed semi for 26k. Less than 1.5 times my salary. I managed to get a job with a final salary pension. I would be better off staying in the EU. But I have to consider the future of my kids and grandkids.
I live in an area where the infrastructure is in place. There are plenty of well paid jobs. We had someone who was visiting recently who was rushed to hospital. She couldn't believe how empty the hospital was. A traffic jam is being held up by 30 seconds. But as soon as we get on the M6 reality hits home.
We need to forget about high speed railways and build houses that are fit and big enough to live in that don't get flooded each time it rains. We need hospitals that are paid for and not rented. We need more roads.
I have never said that I don't want more people moving to the UK. But we should have the choice on who comes here. We need the right skills to help us grow. But we also need to have somewhere for everyone to have a decent quality of life. And arguing over who told what lies just doesn't do it for me. At the end of the day we still need to sort out many problems we have before we make it any worse.