My mat is not fastened under the strips that are used for the door seal. As you can see in the picture the outline of the battery cover I just flip up the mat for access. I don't think the mat would have been under them originally as this would have made access difficult. These were work trucks so access would have take precedent over aesthetics.
http://www.flickr.com/photos/advance-design_parts_co/8129182561/in/set-72157631867396207
http://www.flickr.com/photos/advance-design_parts_co/9576949509/in/set-72157631867396207