Another JammedBrain with reading comprehension problems ...
I never said they should have continued. Going around is required, as helen so eloquently stated and i agree. Then you hold and assess and realise that there must be a glitch in HAL, switch him off, use the alternate procedure and go and land successfully. Two other attempts with a stubborn HAL resemble more to a desperate wish the glitch would go away, than an attempt with a reasonable chance of not getting his warning again.
By the way, in the same week another whale had a similar warning and its jockey did exactly what i described. Successful landing, no consequences.
And funnily enough the company issued a notam to only attempt 2 approaches at the same airport.
(Might have to do with the FZ accident, but applies to HAL as well now)