Are Patek Philippe and Rolex competitors or are they the perfect complements? There is a body of thought that a collection needs only “wow” watches and “beaters”, and there should be nothing in between. How does this pan out for Patek and Rolex?

Are Patek Philippe and Rolex competitors or are they the perfect complements? There is a body of thought that a collection needs only “wow” watches and “beaters”, and there should be nothing in between. How does this pan out for Patek and Rolex?
A “beater” needs to be something more than a watch for everyday wear. It needs to tick several boxes. First, it does need to be