I neglected to include "in Ontario" in that quote. Of course, I know the story surrounding TWU, which unlike any on that linked list, is an actual university.
The list that was linked earlier by @Ontario is clearly not good advice. It includes all kinds of private institutions that are not going to provide the necessary requirements to apply to law school.
You can get into policy with just a JD. However, it is easier to get a policy job with a JD and a MPA. A lot of hiring managers are sceptical of hiring JDs into policy roles because they think they are a flight risk or couldn't cut it as a lawyer. Having a JD/MPA helps demonstrate that you aren't a flight risk for policy jobs and actually interested in policy. Similarly, having a JD/MPA makes it easier to demonstrate you actually have an interest in public sector law and didn't just strike out from big law.
I don't know what your financial situation is, but there are some benefits to a JD/MPA.