If you can easily take image captures and recording from your controller, you have to recognize that media management is not up to standard on our Xboxes. Slowness, jerks, audio delays. The problems are many. All of that should be a thing of the past, according to the last change log for Insiders members.
Indeed, it is mentioned in it that Alpha members will receive a new experience through a reading and editing application called Captures. Directly from the Guide and in My games and applications, we find a large part of the existing functionalities, with an updated interface and improved performance.
Regarding the lag of the audio on the recordings, it is also corrected with this last patch as Eden Marie specifies on Twitter.