What is there on a fighter jet that could possibly help? It's a bomb threat. Fighters have... bombs, guns and missiles. Well, since we already don't want an explosion at the airport, bombs don't help. Missiles, pretty much the same deal except there's a nice WhhoooooOOOSH before it hits something. Seems bombs and missiles would only make matters worse. That leaves guns, typically used air-to-air or for strafing. Since they aren't under threat of air attack, strafing seems to be the most likely course of action, should the fighters actually engage.
That doesn't make a lot of sense though. A device, if found, will typically be removed and detonated or detonated in place after the area has been cleared.
Maybe, just maybe... the logic is something like, "Hey, can we strafe the bomb this time?". CO: "No, EOD is going to follow procedure". Pilot: "Damned EOD. Maybe we'll strafe the bomb next time".