What do you consider your wrist?
While anatomically the carpal bones are lower toward the hand, to me the "wrist" is the area above, i.e. further up the arm than, the bony protrusion that is the end of the ulna (on the back of your forearm, same side as your little finger.)
That is also where I wear my watch, and it is not a part I routinely wash after using the restroom, being more a part of my forearm than my hand. I don't spray perfume over my watch of course, but on the inside of the wrist, over the pulse, yes, sometimes. That is also not part of the hand, not used in toileting, therefore not dirty.