Simple Green is a pretty strong cleaner with a very long lasting fragrance. It will no doubt clean your pads in a hurry. You'll definitely want to glove up before getting Simple Green on your skin (any chemical actually) because it'll likely begin immediately attacking your skin turning your hands slimy.
As outlined above, I might be concerned about rinse-ability and who knows if it's actually the cleaner's active ingredient or just the smell of the fragrance that stays behind. My testing mind would clean all but one pad with the dish soap and clean one particular pad with the Simple Green over and over and record the data to post my findings or just to know for personal and money (time) saving purposes.
I want to know the capabilities and limits of everything.
That's just how I think though.