There's a little more to the story than "didn't catch the hook and went off the end".
They go to full power at touchdown for a couple reasons...
If they miss the wire, or it comes out of the hook, they have the thrust to go around.
It holds tension on the wire so stays in the hook until the plane is fully stopped.
For this to happen there was some other malfunction... obvious possibilities are broken wire or came out of burner too early and the wire popped out before they were fully stopped. There have ben historical cases where the weight was set wrong on the arresting gear, that could break the cable (or the maybe hook). Also possible they just missed the wire and had an engine malfunction, FOD, etc.
Truman is having a rough deployment, that's for sure... those guys are going to be glad to get home. CAG's job might be on the line now too... shootdown had nothing to do with him, but it's going to come down to the details as to how they adjudicate the hangar deck and landing accidents.