The Lexus app suite definitely works on 2013s, but in my click case it has lots of issues.
On my first visit to my Lexus dealer he told me the same thing, It only works on '14s and up.
Lexus phone support and my dealer both try to blame my iPhone for the problem, but the same issues are there when I try it on another iPhone and an Android phone. They play the typical "blame the other guy" game.