I asked my DH about this earlier - and he said "brake cleaner" he said carb cleaner is much harsher and he won't use that on electrical items.
He also said that if the oil has soaked into the armature winding (through the tape) then you may not be able to do anything about it. At that point, he'd opt for a replacement. There is a lacquer coating on the armature wires (under the tape) and if you remove that along with the grease, it will short out.