YouTube embeded player includes search bar. That's a user interface screw-up.
YouTube have started including a “brand bar” with search field in their embedded players. That’s a bad idea for two reasons; firstly embedded players are in the context of another site, and shoving a YouTube bar in the player quite easily ruins carefully crafted designs: “hey look at the video! Let me grab your attention!”. Secondly, this is an embedded player - it’s there because the author of the page including the video thinks the content of the video is relevant to their audience. Given that is the only use case for embedding a video, why would anyone want to search YouTube for a different video at that point? By all means include this new functionality, but do it after the video has played, you know, when it’s relevant. Not before.