Heating pan after use

I’ve owned carbon steel for just over 5 years. After I wash and dry, I put on the burner for a minute or two to ensure there is no moisture left.

I did this as I have read that is critical to prevent rust.

I have owned cast iron pans for 25+ years. I clean them, dry them thoroughly, then put them away. I’ve never reheated before storing and have never had a rust issue.

My question: Is carbon steel different in that it needs the extra heat on the stove after cleaning to prevent rust?