No the problem is that the only job title available to individuals with a Computer Science degree under NAFTA is "Computer System Analyst"
Even though in US a computer scientist can have "Software Engineer" as her title, it's not so easy in Canada. The word 'Engineer' has a very specific definition.
In fact if you get a Software Engineer degree from a Canadian university you'd have to a take a somewhat different set of courses than someone who get a Computer Science degree.
It's over the top bureaucratic semantics in my opinion. Any individual with a CS degree is qualified for anything labeled as Software Engineering in the US or Canada.