From the article:
"Pollack wouldn’t reveal the exact location of the cave, saying only that it was in the northern section of the park. Asked whether he was concerned about protecting the site, he said, “We are, but also the thing is that this cave is truly in the middle of nowhere."
They put up a video showing arial shots of the hole and the surrounding area. Of course the internet is going to figure it out. The Wells Grey area isn't so big that you can't scour satellite maps of the whole area in a few hours.
From the article: "Pollack wouldn’t reveal the exact location of the cave, saying only that it was in the northern section of the park. Asked whether he was concerned about protecting the site, he said, “We are, but also the thing is that this cave is truly in the middle of nowhere."