Amazon isn't very likely to care what's hosted on their servers, as it's not as likely to be damaging - both in terms of brand and of legal liability. You don't know a website is hosted on Amazon Web Services the same way you know a video is hosted on Youtube.
That's... not the point. When you watch a youtube video, you have the youtube logo staring at your face. No matter how technically illiterate you are, you know you're on youtube. When your website is hosted on amazon, there's no component of the UI saying "Hey, we're on amazon property". Thus Amazon hypothetically hosting an Alex Jones website would be a lot less damaging to their brand than Youtube hosting an Alex Jones video.