I wouldn't necessarily trust that list to be completely accurate. It lists the Toyota Plug-in Prius as compatible, but my 2012 Base PiP model lacks the Homelink mirror. In order to get the Homelink mirror, you had to upgrade to the Advanced Tech model of the PiP.
And it turns out that the Highlander's Homelink buttons are active no matter if the car is off or on, locked or unlocked, key or no key with you.I've owned cars where the Homelink buttons were active whether the car was on or off, and I've owned cars where it's only active when the key is present and the car is on. Go figure. Some auto manufacturers are a bit more security conscious, clearly. I haven't checked to see if the new Highlander Hybrid we recently got disables the buttons when the car is off.