The problem there is, it looks like a telepathic link to them only works on Inhumans. Human bodies get eaten up at an incredible rate, there might be something about terrigen that coats an Inhumans cell membranes that stops the reaction. Except for neural tissue, which still looks bruised and slightly damaged.
Remember, Inhumans were designed by the Kree, and Hive was the first of them (or at least the first successful experiment). So it was designed to be compatible with Inhumans -- probably to control them so the Kree could use them as an army.
And Hive doesn't devour all human bodies. It needs to keep its host body intact, so it feeds on other humans to gain the raw materials it needs to keep repairing and animating the dead human body it inhabits. It's an intelligent hive, so it can control the behavior of its component parasites.