Cast iron actually is a specific engineering term for Iron that has been cast and chilled leaving carbon flakes. It is true that all types are cast. but if there is treatment after the casting, it will be designated as that type, not as cast iron.
-
I've no idea what your "retired engineer" background means and my posting is not meant as an attempt to correct you but rather to inform, if that's possible. Instead of relying on my own body of knowledge I've taken the liberty of consulting/quoting a couple of websites and two reference volumes from my own library that I've found helpful over the years. Perhaps they'll help you too. The following excerpts indicate that the term "cast iron" is not specific as you've flatly stated, but more a grouping by classes of a material. They have varying chemical content and carbon as either free carbon or graphite, or combined carbon or cementite (iron carbide). The quotes taken below certainly do NOT list all of the forms of cast iron but do illustrate that the term "cast iron" is not regarded by industry as a specific flavor unless further defined by alloy content or crystalline microstructure like nodular/spheroidal/ etc. The classes themselves have variations specified by the foundry (or buyer) that is sometimes restricted information, sometimes not.
My original post was rather brief and meant to explain, for those unfamiliar with it, that "malleable" can also be a type of cast iron. This long winded post is still meant to merely inform. I don't know where you've obtained your information from but I've cited my sources below. I hope this helps someone.
Theengineeringchoice-Cast iron is a class of iron-carbon alloys with a carbon content of more than 2% and a silicon content of around 1–3%.
Engineeringtechnology- Cast iron is a group of iron-carbon alloys with a carbon content greater than 2%.
Metallurgy by Johnson/Weeks (4th edition from the Amarican Technical Society 1957 pg. 64)- Pig iron, grey cast iron, white cast iron, chilled cast iron, and malleable cast iron are all referred to as cast iron
Machinery's Handbook (20th edition 1978 pg 2166)- The different classes of cast iron include gray cast iron, white cast iron, chilled cast iron, malleable cast iron, and nodular cast iron (ductile)..