One of the things that's pretty much always bugged me about the iPhone/iPad app is that when one turns the climate control on using the app, but then disconnects the J1772 while it's still running (forcing a climate control auto-off situation) rather than turning it off from within the app, the app still shows climate control as being on until you physically send a "turn climate control off" request. In my opinion it would be cleaner for the app to recognize by itself (via a self-update perhaps?) that the climate control is no longer running in the vehicle.
Now this is when you stay logged into the app. I haven't run the same scenario and then tried logging out of the app to see if that makes a difference. I have my doubts that it would, but like I said...not tried it yet.