A couple of things I noticed. Number one, without the key, you can't lock the doors. I dropped my wife off and went to park the car. The keys went with her in her purse. After I parked, the car wouldn't lock. Is that normal? Also, with the key in hand, touching the passenger front door does not engage the door locks when exiting. Is that normal?
Yes, it is normal that you CANNOT lock the doors from OUTSIDE without the remote control key nearby. They can be locked from the INSIDE the vehicle, but when the door is opened the doors will unlock.
By leaving the window down slightly you can reach into the car from the outside and lock the doors by pressing the power locking switch......and leaving the windows slightly open may give your dog some air to breath while you are out looking for your wife's purse, and it also allows someone from outside the car to unlock the car and let your dog out if it's too hot. (Hey, I'm looking for positives here!!).
Of course without the remote control key nearby the power windows won't work either. >
Regarding unlocking the car with the remote control key present, YES, you should be able to open EITHER front door regardless of the MMI setting....but if you are counting on the sensor to do the work the person opening door must have the remote control key on their person or VERY close to them. If your wife has the remote control, she can open whichever door she is close to, but if she is on one side of the car with the remote, and you are on the other side without the remote....you will NOT be able to open the door you are next to.
Of course two OLD-FASHIONED manual clicks on the unlock button on the remote will open all doors regardless of the MMI setting and regardless of the which end or side of the vehicle the person making the manual clicks is standing....