Here is my standard answer: No. As my school's office manager (an American) put it, people move across the border for love or money. Either they want to move to be with someone or because there is a job for them. I moved north of the
Moving across an international boundary is actually pretty darned complicated and costly. The paperwork to become a permanent resident in Canada can be more than $2k for a family of three, and it can take years. When you enter the new country, you lose your old credit rating and are seen as a flight risk, so getting credit cards is hardly trivial, getting a car loan is more costly (oh, and moving a car across that border that is still being paid off is mucho complicated), and even buying a house can be a bit problematic.
But I guess the media outlets like to return to the old well and perpetuating old myths since it requires less work. Speaking of which, time to get back to my day job.