The short answer is absolutely. I can refer to another paper I wrote on the over-credentialed working class. The paper studied the phenomenon of a large number of Canadians who are in the working class, which we defined as people who are in jobs that don't require a university or college diploma. We found that more than half of them actually have a college diploma and almost 20% have a university degree. Not surprisingly, many of them, but not all, are recent immigrants. In fact, some are long-standing immigrants to Canada as well.
Our report highlighted a very significant opportunity cost to both the Canadian economy and the immigrants themselves. There's an inability for them, because of structures that exist here, to exercise their trade. I absolutely believe it is a crucial issue that needs to be addressed.