Playing on Steam, campaign mode, first time I experienced it was in the Malta campaign. As to specific hatcheries or not I can tell you seems the first one I lay down gets the bug, (had to restart the campaign after all 'cause I goofed up), specific dino's or not I am not certain on the first, but I think the second was Carnotaurs. Release method is airlift obviously and I discovered the issue when I went to demolish the first hatchery after building the second, (game told me there was still a delivery in progress, but as I stated, no dino tags in the hatchery)
I think I just stumbled onto something.... Hatchery working fine, deliver a pair of gigantosaurs I think, to the cargo ship for a contract, and suddenly the hatchery can't do airdrops....