the paragraph didn't say that avc kills bacteria at all. it said: "similar to the bacteria culture that yogurt is made from, or the culture that sourdough bread is made from...the 'mother' is the bacteria culture that assists the fermentation process in creating the apple cider vinegar" and "From what I gather allows the apple cider to turn to vinegar instead of a moldy, rotting brew." candida is a fungus (as is mold). logically, if the vinegar does not become moldy due to having the live culture (good bacteria), it would have to have some trait in common with the good bacterias it encounters as it goes through the body.
IMO, if it killed the good bacteria then the live cultures would not have worked to make it vinegar in the first place without the need for foreign chemicals (regular vinegars).