Granted, they could probably be a little clearer about how they phrase it, but all the written material I've come across about the AB external link only mentions it working in conjunction with AB Elite products. Usually when I see someone say something like "X will work with Y with Z feature" I read that as an implied "X will work with Y but ONLY IF it has Z feature."
Since everyone is using the AB software in their rangefinders to make it compatible with Kestrels running AB software, and the communication protocol is proprietary to AB, Hornady is basically stuck developing their own communication protocol if they want people to use their 4DOF software with Hornady's custom bullet curves.
Now, someone with some serious programming chops could probably whip up an app for an Android phone that could sit between the KILO and your Hornady Kestrel and translate the data between the two of them and fool the Kestrel into thinking it's getting the info directly from the KILO. But that's beyond my abilities and whoever did that would probably be violating a few federal laws in the process too.
Sounds like right now your options are to either change your Kestrel or change your rangefinder.
Here's a page from Kestrel's website showing which rangefinders are compatible with which windmeters. I'd probably give them a call still just to be sure so you don't end up in a similar situation again.