There are a few points that I don't get.
Reading from the datasheet of LM317 and LM337, both of them have built-in current limit and thermal protection. In the datasheet it has also mentioned cases about input and output shorts conditions which calls for protection diodes. So these regulators should survive an output short if the precautions of adding the protection diodes are followed.
Maybe ronchiejames would tell us the input voltages to them and whether those protection diodes are being fitted in this case.