Actually, it's not. What the author wrote is his opinion. What the video shows is objective fact. Despite Jerry saying "the fact is..." followed by a bunch of things, that cannot be established as fact without objective, verifiable testing. But you're right though, it's hilarious. The hilarious part is when a reviewer's own video contradicts his own statement.
By the way, may I ask why it's so important to you to prove that the Moto X is as *fast* as the Nexus 5? Saying a phone isn't as fast as another doesn't mean that it's a worse user experience. The key part of user experience is not the specs or the tests or even the reviews. It's the user. A phone may well be objectively not as fast as another and still provide for a better user experience because of the way the individual users use their phones, how the phone is optimized for different processes, etc. Your argument would be much stronger, IMO, if you could let the speed thing go and keep it on the Moto X's strengths, of which there clearly are many. It is not necessary to prove superiority (or at least, lack of inferiority) in every aspect for you to justify your perfectly valid choice.