We are not talking about the cowl doors here, but about the fixed inlet cowl which is bolted to the fan case with probably 100 bolts. This can not be opened and has no latches. Once this part is missing, air flows under the cowl doors and breaks them, irrespective of the latches.
The big question is: Did the nose cowl fail and was partly ingested, damaging the fan, or did a fan blade fail and destroy the noce cowl ? Not easy to tell from the pictures.
As there is no debris visible behind the fan, I tend to believe in the second scenario, but this is just an educated guess.