Despite the posts above, it actually is their official stance. They're not out of touch - in a live letter, Yoshi P used these as examples for why they don't give specific advice for specific apps. Another example he used is using microsoft excel to calculate DPS from a copy pasted battlelog.
Technically it falls afoul of the TOS, but in practice it would be ridiculous to enforce - but because making "per app" distinctions would never end, they have a blanket policy of using third party apps with FF14 in any way is not allowed.
Please note that I am not agreeing with their stance. But that's what they've said it is and that's their explanation.
Here's an exact quote on that segment:
And here is the full translation if you're curious.
So, to reiterate. Their policy is no third party apps/tools/etc, period.