Earlier quoted context omitted.
No, not at all. Coke or hydrogen always only provide additional heat, they are never the main source of heat. The main heat source can either be coal or an electric arc furnace. The coke or hydrogen are just necessary for the chemical reaction, and providing some heat is a side-effect.
Sorry, in face of OP’s tone I allowed myself some sarcasm. Obviously there needs to be additional energy. You’d have some equilibrium with those reactions and OP didn’t make any argument why that can’t be controlled in favor of reducing Fe2O3. It’s also borderline unbelievable OP never heard of hydrogen in future steelmaking, if they are at all invested in the topic. You’d need a special kind of ignorance to think pe…
Now I wonder how cost effective it is :)