I think that in the future this age will be recognised as the steel age (or bainite age!), future historians will probably still over look the vital role of steel in their own civilisation (although no doubt it will still be of vital importance if they are civilised). However, with the benefit of hindsight they will probably be able to recognise it’s importance during this era. In a dystopian future they will tell camp-fire stories about the ancients and their hidden steel knowledge, and their ability to make ‘things’.
Probably Stone and Bronze age peoples didn’t recognise they where living in an age defined by the materials they used, either. That’s because they used many other materials too, and concerned themselves with where the next meal was coming from, and generally got caught up in the drama of Bronze age existence.