That would be it, yes. There are some borderline cases, of course-a striking example would be Reality Marbles, which allow a person to temporarily reject reality and substitute their own reality that has a specific set of rules. These are close to true magic, but because they're more like bending the rules than breaking them due to their limited scope, they're considered to be in their own category.

If we were assuming the cause originated in my world, then yes. This world and many others seem to function quite differently from my own, so I can't say that a technological cause here would invalidate travel between worlds as a true magic in my own, since there is no technology in my world that could achieve it.