Many years ago, before I got into debt (so to speak!!) I used to work for a large soap powder manufacturer and can assure you that the difference between the brands that they produced, 5 or 6 famous names, is very very little. It would cost far too much to have separate production facilities for them all so you would have a run of producing one brand, then another brand would follow with all the same ingredients, in roughly the same proportion, but with perhaps, say, some blue brightener instead of yellow.
I also worked for a while at the makers of a famous gravy, and the same product was packaged in different boxes. One was the famous brand for which you pay more, the other was sent as an own brand value product. It was exactly the same but again it would have cost too much to set up a new line, or to keep closing and cleaning down the line that they had.
Regards.