Unfortunately, you cannot comment or view comments on YouTube through your Xbox One.
According to Google, you’ll only be able to view your subscribed channels, search for content, and use your mobile device as a remote.
And, it has nothing to do with Microsoft disabling comments on that video way back in 2013. This is just how it is on all consoles.
If you do find a YouTube video while watching on your Xbox then you can go to YouTube on your browser or smartphone to view the comments or leave a comment of your own.
With MyTube you can post and reply to comments, listen to videos in the background while you do other tasks, create and manage playlist, download videos, and more.