They do fit, but not easily. Without the power lead it's fine, but with it in, and because it's located at the bottom of the unit, you need to remove the rubber mat and kind of wedge the whole thing in at a jaunty angle so it stays put, and so you can actually see it. It'll bend the crap out of the power connector itself, but the socket remains safe so that's the main thing.
Over the winter I'll be taking my centre console apart and routing the cable through that, which should eliminate any issues.