Why are so many people saying it's for legal reasons? There's absolutely ZERO legality if they showed the controller or not, you can't be sued for simply showing an xbox controller.
The reason why reality shows and other things "blur" logo's has NOTHING to do with it being "illegal" to show logo's (Imagine how impossible it'd be to film shit if you couldn't show any logo's in a movie) and all about doing it because they depend on advertising and things and they want to ensure the only logo's they show are companies that are paying them to, thus no free advertising.
Sony probably blurred it simply because it's a competiting brand and they don't want to give them any advertising in a playstation video, however if they wanted to they could fully and legally "show" it without facing legal issues.