There is evidence for this, but just as we wouldn't stop trading because low-skilled work is exported overseas, we shouldn't restrict the movement of people. The key is to improve the skills of citizens here rather than try and insulate them from competition. If it's not migrants it will be offshoring. If it's not offshoring it will be automation. The common solution is to upskill the workforce, not pretend that things are hunky dory.
I agree Bruce
Upskilling is a constant process though and to some people the new is daunting.
However what I have seen in Ireland is that those who have immigrated to Ireland are more open to upskilling in general as the see the possibilities of improving their standard of living.
There are those however who still believe that the old way is the best and machines will never replace them
Working in a factory that 35 years ago produced 30,000 tons of product with 1200 workers to a factory that produces 40,000 tons of product with 350 people I can tell you they are wrong
Freedom of movement however is about more than economic improvement ,its improves our knowledge.our culture and our understanding of the world