Stian wrote:
The sentence method (both from native media and from the anki server) is just having a sentence around the word as context helping the user review without name-dropping definitions or translations.
That's how I see it.
Native media is the way to go if you want to see how the words really are used.
While I agree for the most part (can't learn correct sentence structure from drilling grammar points, because languages have a way of not giving a crap about their own grammar rules) I have used Anki to get acquainted with basic recurring patterns. In my case, thus far I drilled the example sentences in Tae Kim's guide. I'll probably stop here, but I might reconsider.
Anyway, while these drills are by no means enough to teach you to speak, they will help you to recognize these common patterns when you encounter them in native media. And the more you understand something, the easier it is to learn it.
But, yes, as far as Core sentences, and sentences one mines themselves, the purpose is exactly what you said, not grammar. For grammar, one should use carefully selected sentences put together by a professional.