Burst discs are intended to give at a certain pressure so that pressure doesn't have to escape though the side of the tank.My thoughts are that a tank when hydro'd gets filled to a crazy amount so in theory a cave fill isn't going to hurt your tank and the burst disc will protect the valve
Hydro fills to 5/3 service pressure. Hydro on an LP tank is 4400 psi, 5736 for mid pressure tanks.