On the 737 we did set 50ft on radio, CAT I minimum on baro, flipped it back over to radio and blanked it for no DH approaches. That way the CAT I triangle shows up (which usually coincides with the 200‘ alert height) and we could reactivate the 50‘ for CAT IIIa in case we got a downgrade prior to the alert height or even flip it over to baro for a CAT I minimum if needed.
On the bus any monitored and announced downgrade below 1000‘ is a mandatory go around. But we can continue for non monitored failures, most we wouldn‘t notice anyway.