Unfortunately I have nothing to tell me if the is Bauer EM Lock will fit your 1997 Fleetwood Bounder. You would need to go based on dimensions and cut out. I have included the cut out and overall dimensions below. Normally the EM lock is used on many motorhome and the NE lock is used on Trailers but it is still best to go based on dimensions.
EM requires a 4.88" W x 4.50" H cutout.
Click to enlarge photo.https://www.rvupgradestore.com/Bauer-Electric-Door-Lock-p/31-8079.htm