Earlier quoted context omitted.
"Cast iron" and "high carbon steel" are the same thing by different names, so I'm a little confused by your comment.
They’re not quite the same, cast iron generally has a higher carbon composition range and a different phase distribution. Cast iron has a much lower thermal conductivity
I thought this was true (it makes some sense), but the data seems to show the opposite. This source has cast iron at 52 W/m-K, and 1% carbon steel at 43 W/m-K (0.5% carbon steel is at 54 W/m-K). Now, this obviously depends a lot on the processing and heat treatment of each material. But at the very least, the difference is not massive.
https://www.engineeringtoolbox.com/thermal-conductivity-meta...