Depending upon how deep the scorch went, the fabric may be compromised. It my be permanently stiff and more fragile, since the burning has caused a permanent change. Can you replace the one small damaged area? If not, try all the remedies that you find. Maybe something will help.
In my small re-enactor group, when a mistake happens on a "period reproduction" garment, the saying is "Fix it or Feature it." We place extra things over the mistake- flowers, badges, sash, etc.