This is a matter of semantics, linguistics, and basic communication. When someone says processed food, what do they actually mean by that? Do they mean a baked potato, or do they mean a twinkie?

Language and communication don't work on technicalities. If someone says they would like a bowl of fruit, you can't serve them some tomatoes and say well you have to enjoy this! Tomatoes are technically a fruit! Communication occurs only when people accept the intended meaning of what someone is saying rather than the literalist interpretation of it.