Apparently their new one will be 70mm ID instead of 42mm; So you might be OK.
Well my drivers license is 3 3/8" x 2 1/8" so I thought by curling it, it might just slip in there.... I did simply check the specs
Yes, they won't bend that much. Of course Drivers license / credit card could get wet so even a mesh bag could work for these if you must bring them along and you have the smaller DRYFOB .