You summed it up quite well. From the Airbus FCTM any failure down to the AH will involve a go around. A failure of any aircraft equipment or ground equipment below AH does not in itself necessitate a go around depending on the nature of the failure and may involve a quick command decision. However, as you pointed out if the AUTOLAND light comes on then its a go around in anycase.
As an aside if a failure occurs above a 1000ft then usually the crew will deal with the problem (clear ecam items etc) and if necessary set a higher minima (say due to the aircraft downgrading itself from CAT 3 to CAT 2 or 1) and rebrief accordingly (calls, approach lights to be seen etc). Failures below a 1000ft by their nature will invariably involve a go around as the workload will be to high and your to close to the ground to safely deal with them. As per the FCTM 02.150. This of course is Airbus recommended SOP's and the company ops manual will need to be consulted for detailed advice but that is how we do it in our outfit. Of course nothing precludes good airmanship at the end of the day.