Well, now that you mention it, I can see how it might sound kind of funny That being said, I don’t think it would have struck me as being particularly strange or unusual had you not asked about it. I suppose it’s modelled on the “tv eller film med xxx på” e.g., med lyd på, med farve(r) på, med undertekster på etc. It sounds fine to my ear...the meaning is quite clear even if you might argue that it could have been worded more eloquently.
Since this could appear to be a tie, I want to back up Sepia: This is not a standard way of phrasing that you don't want yout face to be shown on tv. It might be some sort of jargon, among tv-people, but it's not what you would normally say.