To me steelmanning is more of a better version of restating the others point in order to verify you understand their point. The best steelmanning is often proceeded by that. (do I understand the other parties meaning, and what is the strongest version of that meaning.)
Most often though I just find that steelmanning is just ignoring fallacies in otherwise decent efforts at conversational debate. In order to not devolve into back and forth "thats a fallacy!".
In which case the responsibility is on the steelmanner to demonstrate conclusively why the best possible argument differs from the original argument by discussing what makes the original argument weak. You can't just address it with 'it's weak.'
They might, yes. The point is to try not that you will necessarily always succeed.
This is why I said above that trying to do it but not labeling it is the best approach coz hey, maybe your steelman game sucks.