I don't want to be a stickler, but I have worked in the health regulatory process before and you're a little off in this analysis.
Social work is a regulated health profession in Alberta, as well as Ontario. This means that you must be a member of the college of social workers of your province to use the title. In both Alberta and Ontario you may enter the college as a social worker with a BSW or an MSW. You would refer to yourself as "John Doe, BSW RSW" or "Jane Doe, MSW RSW"
The reason MSW is entry to practice for many places in Ontario, other than a general lack of jobs, is that Psychotherapy is a protected act in Ontario, which means you need specific training to do it. In Ontario you also need an MSW.
In Alberta, I don't believe this is the case. (although I'm not 100% sure regarding psychotherapy...it might not be a protected act there.) Generally their entry to practice degrees are one lower than other provinces. Fun Fact: Alberta is one of two provinces/states in north america that only requires a Masters of Psychology to be considered a Psychologist.
ETA: Other professions can perform psychotherapy as well, but social workers require an MSW