I had a long saga of finding you have to keep them further away than you think, even if in a faraday bag. Ten feet away is not enough even if in a bag. Had to move them upstairs.
The car kept waking up when a fob was inside through a wall 10 feet away in a faraday bag. So, to be sure the car is actually asleep, move the fobs further away. Definitely better for the car to sleep.