A Faraday pouch can't hurt - and it will also block the fob from communicating with the car until you want it to. The fob is the transmitter; the car is the receiver (thus the button battery in the fob).
I use them - the foil lined Tyvek ones - for all my various "credit" and gasoline cards and we have proven that they prevent unwanted card scanning.
I use them - the foil lined Tyvek ones - for all my various "credit" and gasoline cards and we have proven that they prevent unwanted card scanning.