I'm not so certain that JJ's strategy isn't just to simply take his sweet time in a coaching "search" and then retain JG after all is said and done. Here is a quote I lifted from an ESPN article (quoting JJ):
"What other teams are doing, I'm not concerned about from a timing standpoint," Jones said. "I'm just not concerned about it. They can hire every name you've heard tonight, I'm not concerned."
His strategy may be to simply slow-walk his "search" and end up claiming that JG is the best coach available in his mind (after numerous high profile coaches have been hired), and then sign him again. It would not shock me for him to take that approach. The more time that goes by without us hearing something on either JG not coming back or another HC is coming in, the greater the chance that JG returns, IMO.