Cadillac Repair Questions? Ask a Mechanic for Answers ASAP
There is no fuse, it's a circuit breaker. You are correct though in assuming it must be ok if the other controls work. I see from the wiring diagram that it has a separate motor for the recline. I suppose it has something to do with that specific motor. I would test for power to it with the switch on forward and backward. If there is voltage then most likely the motor is bad. If there is no voltage then the switch is most likely bad.
Here is the diagram,
I see from the part numbers the right and left motor are the same, so you could swap them to test. http://www.cadillacpartscenter.com/parts/1999/Cadillac/Seville/SLS/index.cfm?siteid=218205
Cause they are expensive, $226
Here is one for $113, http://www.ebay.com/itm/GM-OEM-Power-Seat-Motor-88895705-/281771110412?hash=item419addf00c&vxp=mtr