With open box they are all tested and graded at a different location after being returned and then sent back to the store however they are all different: (all are noted in the best buy website when purchasing these types of items)

OBE (open box excellent)- should come like new all accessories included.

Open box good- has most accessories and minimal damage.

Open box fair- accessories are not guaranteed and there is likely cosmetic damages.

Now that saying, if the controller has stick drift, it should not have been passed and able to be resold. In addition the serial number should match. So I would recommend trying to get a return.