You will never produce factory food in your home. Not unless you can prepare 10,000 servings an hour of something for far cheaper than you can buy it for in a grocery store and ensure that it has a 3-12 month shelf life in the process.
You're stuck on the word "processed" as if it means anything that has been changed from its natural form, whereas it is meant to relay that a food has been industrially bulk processed and then packaged.
By your definition, cutting an apple is processing it, which is (hopefully) obvious that we're not talking about that.
The idea is to make your own food from as close to scratch as you can, to not eat pre-packaged "processed" foods like frozen pizzas and hot pockets and hamburger helper all the time.
We should name specific processes (like frying in cooking oil) and ingredients (like corn syrup) and not leave it to the consumer to define their own definitions of words.
Should we drink raw milk or should we drink pasteurized milk?
Factories can produce food I can make in my home.
I don’t understand why the location of the food matters.