The main point behind it is that a perfectionist should be punctual. People will not take you seriously if you are late to things and for that watch is necessary and may be it is also to create an image to the outside world.
A true perfectionist would understand what time he would have to leave to arrive at whatever place. He would make sure every corner of doubt that he would arrive at the time would be wiped out. Perfectionists don't need tools to be perfect, which is why I don't know anyone that is a 'perfectionist'.