A320, fail-operational. Certified NO DH (min RVR 75m).
Alert height 100', a separate autoland red light is on both stations.approx 10 inches from pilot's eyes. Complex logic what triggers it, but "no flare" itself is not monitored - if simulator behaviour is to be trusted.
For the question "Is it even possible to have a no-flare develop on you without triggering the Autoland RED warning in the first place?" - FCOM does not provide enough clues.
On the previous type, fail-safe CAT IIIA (min RVR 200m), there was no autoland big warning. Loss of RA / G/S signal could have created a no-flare situation. It was the PM's responsibility to discover and announce. With MBH about 17 feet, training was
-> you can land it if the required formal visual reference had been attained and you dare to try.
-> if you go around below 17 ft, there will be ground contact and it is alright.
On A320 later, my operator copied the understanding. The guidance changed to:
-> please make a G/A regardless, since you cannot see enough anyway and the risk of tailstrike (think A321) or runway excursion is too great.
AND LATER, this was ditched altogether.
Training for a "no flare" in a fail-operational A/C with a proven record was agreed to make no sense, moreover, relevant technical basis to do so (failure mode) could not be identified. Came to agree that is was not only a waste of precious SIM time, but also negative training as the previously provided guidance was a very dubious lesser of two evils that could land a whole aircraft in very hot water due to the 2nd approach dilemma.