1) Your entire thing seems fishy since square won't accept any screenshots even after you talk to a gm.

2) No proof and it is all conjecture.

3) A lot of players don't log out, just go afk in towns or residential area's; at least on my server.

4) If SE's special task force investigated the player and they weren't banned, chances are that they aren't using 3rd party bot.

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Yes there are bot and i think i've seen them and reported but as i said to you above, that's all we can do and trust SE is doing it's job.

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The simple fact of the matter is that crafting potions doesn't require a bot; retainers bring mats back in bulk and crafting is a breeze (3 each craft). You see a market you can make money in, it is usually that way because someone forged blood sweat and tears into shaping that market, so it is their right to collapse it on a whim to get u out of it. Because let's face it, nothing more of a piss off then to see someone undercut you by 1 gil.