It's interesting that most of the prominent brands don't follow such rules. They overwhelmingly stick to just two colors (or one in many cases).

Amazon.com, Apple, McDonald's, Walmart, Fedex, UPS, Nike, Coca Cola, 3M, Target, Visa, Square, PayPal, Facebook, Uber, Lyft, Twitter, YouTube, Netflix, Samsung, Sony, Intel, Cisco, Oracle, IBM, SAP, Starbucks, Lululemon, Under Armour, NY Times, American Express, GAP, Best Buy, Costco, Exxon