By that logic a steak is processed beef. But yeah there's a bit of a subjective line in the sand - all food goes through a process of some sort. Even veggies have to be picked, sorted, and washed.

Generally what is meant by processed is either food that's undergone a preservative process or food with additives to make a secondary product. Like American cheese is processed cheese because it has additives after the original cheese process.

Generally butchery or packaging is not the colloquial bar for 'processed'.