The link just talks about antifungal activity. It doesnt indicate how the bacteria in milk kefir can kill fungus. Bacteria in milk kefir is designed to "inhibit" candida but not "kill" candida. The question to ask is what does the bacteria produce to kill candida? Kefir bacteria produces acids( acetic acid, lactic acid, propionic acid etcc... that is designed to inhibit candida but not kill it. Good bacteria in the gut is designed to keep candida under control or inhibit it. But there is always going to be some candida in the gut because bacteria is not designed to "completely" wipe it out. Its a very complicated symbiotic relationship which can wreak havoc on our health if it gets out of balance.
Fungal candida's cell wall is so much stronger than good bacteria its a joke. The chitin in candida's cell wall is so much stronger than bacteria's lipid membrane. It takes about a 10:1 ratio of good bacteria to candida just to keep it under control--at least thats what has been indicated.
I'm glad the milk kefir enema's work for you. Hopefully it keeps workin.