True, but there are some partial exceptions (Britain and France) and reality hasn't stopped people from pointing to the EU as an example of the system gone horribly awry.

Despite the lack of conditionals placed on EU immigrants, the lack of tracking and free movement, there has been very little migration from border countries that accept migrants willingly.

Actually there are Schengen border controls which are not the same thing. You cross outside of Schengen and you do border controls. Go from France to the U.K. for example -- even pre-Brexit.