Maybe after they complete their primary and secondary mission objectives, they'll find spare time and compute to stream a couple hours of Martian ambience. Does NASA have a suggestion box for after hours / extended program experiments?
The two resectful and fun comments between 'this' comment and your comment.
I can imagine a Tumblr/Reddit re-post would be more fun, but-yes-not for the NASA suggestion box. They would have 1 diamond idea every 100k unusable ones.
I can imagine every gaming company would LOVE to have the original Mars sound in their games (e.g. "No Man's Sky").