Not just crowbar circuits. Any circuit that could pull down the input voltage faster that the output capacitor normally discharges can cause excessive reverse current flow in some types of linear regulator. (e.g. high current loads fed from the unregulated supply, on loss of supply). If nothing else can pull down the unregulated rail (i.e. there is no risk of a short to ground on disconnection), and nothing can back-feed the output, reverse current protection is not needed.
Read the specific manufacturer's specific datasheet carefully for any hints if such a diode is or may be required. Older datasheets often proudly claim a shunt reverse current protection diode is not needed or is internal, and give a peak current rating for it.
As you've got plenty of headroom, if reverse current protection is needed, you could always cut the input track and patch in a series diode.