That drum has definitely had it. The inside should be smooth with no grooves in it to ensure maximum contact area with the shoe when braking. Grooves are caused by worn out shoes usually, used to happen a lot when brake linings were riveted on in the good old days. Ideally you should replace drums in pairs to ensure brake balance and new shoes as well if they are grooved badly, otherwise they will wear your new drums unevenly. If its minimum damage to shoes you could smooth them back with Emery Cloth but wear a mask while doing it. And as gvee says adjustment is key, good idea to clean up the threads on the adjusters while the drums and shoes are off, should save some swearing later