It was not because he was insensitive or selfish that he behaved this way, but because he sincerely believed that rescuing them was impossible. In fact, he even wondered if he would be able to get to the surface without a hitch.
As if to confirm his premonition, when he wished to safely return to the surface, his Shadow Guide didn't simply turn back as he had hoped. On the contrary, it lay even lower against the roof of the kennel, taking full advantage of the width of the statue next to him to hide even more perfectly.
Basically, if Jake wanted to survive, he had to stay here. Of course, it was on the assumption that his bracelet was working properly. It was far from being the first time that the Oracle System had failed him...