Is it possible that there is a natural cure for Alzheimer's? Given we don't know the cause yet, sure it is possible. But one study with 10 people is not enough evidence to claim there is one. If you simply said "hey I found this interesting, published study that suggests there may be a natural treatment", then you probably wouldn't have been down voted to hell. Instead you asserted that there is a natural treatment with very little evidence.
1. Patients didn't actually have Alzheimer's. Given the only definitive test for it is a brain exam after death, this is possible.
2. There was a placebo effect.
3. There was a therapeutic effect better than placebo.
You are assuming #3 but we can't draw that conclusion yet. Even the authors of the study aren't claiming #3.
Would you call such a small sample as relevant?
May I ask what your interest in this is? Is there any relationship you should disclose?