[rmc]

The "Tone argument" doesn't apply to the person who's being annoyed (they are not making a tone argument), but to someone who 'replies' to them.

Think of "tone argument" like "ad hominem", it's a reply to what someone says, but you don't actually respond or address what they said, instead you address how they said it in a very angry manner ("tone argument"), or based on what sort of person they are ("ad hominem")