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On my C6, when I pulled it into my garage and got out the car would autolock and the horn would blow once by the time I got into the kitchen.
With my 2016 I have noticed it doesn't autolock. I could leave my keys in the kitchen and go out to the garage and open the doors of the car. If I try to start the car it won't because of "no key fob detected" which makes sense since the fob is in the kitchen.
It shouldn't if the fob is where the car can sense it. It will lock even though it beeps at you, if you remove the fob before the passive lock time ("several seconds").
Keep in mind, also, that the car won't auto lock with the trunk open.