I think this scenario would make him the wrong coach, unless he is not in control of his staff, which I don't believe.
I am more of the belief that it is WAY too early to tell. Has he even coached a season worth of games here yet? Dealing with Robe's death and the pandemic is quite the tall order.
Everyone has been calling for JT's head for years. So far two highly-respected and successful coaches have seen fit to keep him around. Maybe there are things we don't see that they see behind the scenes. Offensive production has definitely taken a fall, since he has been at UL.