I respectfully disagree. Fact #1: coconut oil containes caprylic acid. Little Experiment #1: I once tried an experiment culturing sterile milk with different types of probiotic capsules in a yogurt maker. The containers without any caprylic acid added turned into yogurt. The containers into which I'd added caprylic acid did not turn into yogurt.
My unscientific conclusion: even the small amount of caprylic acid in coconut could indeed kill off some of your good bacteria. The unanswered question is, how much.