When I think of double doors, I think of the ones in the video that it is being installed on.
Would you happen to be referring to two glass doors that meet in the middle like in a conference room?
The install videos does show a pocket door install.
I think if someone wanted it for a pocket door - it would probably be for an ADA / handicap remodel job.
If someone in the Villages already had one installed, it was probably for the patio so that pets or scooters / walkers could easily get out.
As for the pets, there is a switch to turn off the pet sensor. One could press the "open" button and go in/out... but kitty can not (if it is turned off).
Pretty cool Dog Door - or politically correct "pet door".