The fail operational 737 can continue the autoland with a complete groundstation failure (loss of ILS/GLS signal) below 200ft (alert height). However, it might not be able to completely cover sudden changes in wind direction and therefore a go around is advised. We tried it in the simulator though and even a windshift of 25kts crosswind from one direction to the opposite, basically a 50kts wind shift in less than 50ft, did not lead to a displacement of more than 8m from the centreline.
Haven't tried it in the airbus yet, but a loss of G/S signal above 100ft or a loss of LOC signal above 15ft lead to a red autoland light which requires a go around.