I have a Mazda 3 2010 GT-E with Push Button start.. I’ve just got a Compustar 2-way remote starter installed, I went with Compustar because I don’t like how the factory ones behave in which the engine shuts off when you open the door. I do have a question, is it a normal behavior with third-party 2-way remote starters that if I use my original fob to lock/unlock the car, the 2-way remote doesn’t get updated? For example, I lock my door using the remote or the button on the door handle, my remote still shows unlocked? So I should be using the Remote starter fob all the time now?