and since "engineer" is a protected term in Canada and you can't get a "software engineering" degree (because that's not a real thing) in practice it means that any sort of software job is subject to the whims of a CBP agent that can arbitrarily decide to reject you
Software engineering is a very real thing. I'm about to finish my BSEng with the iron ring. Unlike computer science, I had to take courses in DSP, ethics, software management and development lifecycles. It is exactly as structured as you'd expect from an electrical engineering degree.