I learned french with the MT course – first the 8 hour beginner course, then the advanced. I didn't find MT's pronunciation a problem and I'd imagine that lots of peoplelearning a foreign language don't have a native speaker as a teacher.
Now that I'm reasonably fluent I've got to know lots of french teacher (or should that be teachers of french) who are not native speaker and who teach french in schools up to a high level.
Similarly, I have french friends who speak impeccable English but who will never, ever sound like they're a native English speaker. My view is that, unless you're bilingual or unspeakably gifted, it's almost impossible to master the accent. But that doesn't affect your level of fluency.
On the second point of memorisation: MT doesn't say there's no necessity to memorise stuff, rather that it is the responsibility of the teacher to make sure you remember rather than that of the student.