I thought the same thing, but no, the chemical process is different. Iron-air batteries are traditional flowcell batteries (with some extra complications).
This paper uses hydrogen as an intermediary, which has advantages but also adds some questionable margins in efficiency. But I don't know the efficiency of the suggested iron-air batteries either.
This may be nicer if you want hydrogen rather than an electric battery. But if you turn that hydrogen into a fuel cell... the efficiencies of producing and consuming that hydrogen add up.
This paper uses hydrogen as an intermediary, which has advantages but also adds some questionable margins in efficiency. But I don't know the efficiency of the suggested iron-air batteries either.
This may be nicer if you want hydrogen rather than an electric battery. But if you turn that hydrogen into a fuel cell... the efficiencies of producing and consuming that hydrogen add up.