What is the official stance on botting that does not involve RMT?

[Enkidoh]

Officially, bots of any kinds are banned - found here (under 'Activities That Negatively Affect Game Balance', and specifically, 'Third-party Programs or Tools') - relevant portions are bolded:

Activities that Negatively Affect Game Balance

Third-Party Programs or Tools
SQUARE ENIX strictly prohibits the use of third-party programs or tools – including programs and tools that permit automated or “absentee” play – in FINAL FANTASY XIV. Accordingly, the following activities are prohibited:

- Modifying, analysing, integrating, and/or reverse engineering game software or data.
- Creating, distributing, using, or promoting utilities that interact with the game.
- Exploiting SQUARE ENIX programming bugs or glitches.
- Automating gameplay processes.

During the course of an absentee play/automation investigation, SQUARE ENIX may request that players respond to or comply with certain instructions. Failure to do so may result in SQAURE ENIX taking disciplinary action against the account.

Real Money Trading (“RMT”)
RMT is the selling and buying of virtual assets for real-world money, property, or services. “Virtual assets” include, but are not limited to, the following:
- Accounts
- Characters
- In-game currency (gil)
- In-game services
- In-game items or gift codes
- In-game property

SQUARE ENIX has a zero-tolerance policy for third-party tools and RMT. Items and gil obtained through third-party tools or RMT can affect the game’s economic stability and disrupt gameplay balance. Moreover, some third-party programs contain viruses and spyware that can harm players; this can lead to unauthorised disclosure of users’ personal data, character deletion, identity theft, and other unfortunate circumstances.

So that is pretty cut and dried to me - basically, botting is not allowed under any circumstances (for good reason too, as has already been stated).