We have an Aldis here, but I've never been to it. My mom shops there.
When my wife or I go to the grocery store, we rarely buy Kraft or Heinz type products. The store brand is the same thing and less expensive.
I can tell you for an absolute fact store brands and 100% the same as some name brands. When I was a kid, I worked stock in a grocery store. Occasionally I'd open a store brand case of pineapple, corn, dog food or whatever, and one of the cans would be labeled with the name brand where they switched over the run.
If you are buying a single bottle of ketchup one time, the savings isn't noticeable, but if you add it up over time, it is considerable.