If Apple sent a security camera picture of the robber together with information from the stolen ID to police, and police the same would have happened. So the core issue here is that the validity of the ID was never questioned, not the use of facial recognition. That might just have amplified / accelerated the identification of the wrong person.
If, it was just a single theft and the stolen ID was used on that occasion, then I would agree facial recognition would not be relevant.
He was arrested because his name and details were presented at the crimes by the perpetrator. I've read the article and this is what I've taken away from it.
I really can't understand how facial recognition played a critical role in his arrest over his name being used.
I make that assumption, because the person accussed of multiple crimes is suing Apple based on their use of facial recognition. He wouldn't do that if the ID was used in each crime.
Another article confirms my assumption is correct.
https://www.bbc.com/news/technology-48022890
"A detective with the New York Police Department allegedly told Mr Bah that the thief probably used Mr Bah's driving licence as identification during one of the robberies. The detective reportedly said that this may have caused Mr Bah to be charged with thefts committed at Apple Stores in New York, Delaware, New Jersey and Massachusetts, according to court papers."
Unfortunately "Stolen ID Blamed for False Arrest" doesn't make for a good story.
That would be consistent with “Apple said on Tuesday it doesn’t use facial recognition in its stores”.
On the other hand, “Security Industry Specialists Inc., a security firm that’s also named as a defendant, declined to comment on the suit” could mean that Apple hires a third party for its store security, and that firm could use facial recognition.
Following further thefts associated with that ID, the innocent man was accused of all the thefts based on the ID and an INCORRECT photo match to the stolen ID which Apple had created in its facial recognition system, and used as the basis to inform the police of the suspect.
I tried my best not to be snarky. I thought the article was a normal average article.
Edit: I'm not sure the article says facial recognition was responsible, I think that's what the courts will decide. But to me, its clear that facial recognition was involved, based on the article's title and content