If you're accusing them of lying on their report because it disagrees with the off-the-cuff remark you made about OTA TV being dead everywhere, then I'm not sure what I can do. I'm not a journalist. Personally I find it inspiring that New Mexico PBS has managed to become one of the most watched PBS stations in the country (often in the top 10 for prime-time viewership) when it serves the 37th most populous state, and feel that it's a great example of how public broadcasting is able to reach underserved communities.
No, I don't think New Mexico PBS is lying. I think it's much more likely that we don't understand the stat we're arguing about. Uh, I'm just going to come out and say it: even in 1995, at the height of linear television, 80+% of the NM market was not watching PBS. Sorry, this doesn't pencil out.