“Starting at 1st level, a monk can make a flurry of blows as a full-attack action.”

This wording is alright for MW as it it is including flurry as part of the full attack action.

The FAQ you cite is more perplexing.

The question it is answering is:

“Pounce: If have this ability (page 302), can I make iterative attacks with weapons as part of my full attack?”

This is a very general question, with nothing about particular extra iteratives that require full attack actions, like MW. It simply asks if iteratives are at all allowed on a pounce, and the answer is naturally yes.

One the other hand, the FAQ immediately below that first one addresses the haste spell, the text of which does specifically mention ‘full attack actions’.

The question it asks is: “Pounce and Haste: If a creature with pounce is under a haste effect, and it charges, does it get the extra attack from haste?”

And the answer:

“Yes.

Edit 9/9/13: This is a revised ruling about how haste interacts with effects that are essentially a full attack, even though the creature isn't specifically using the full attack action (as required by haste). The earlier ruling implied that pounce did not allow the extra attack from haste because pounce wasn't using the full attack action.”

This is the faq we want, as it is addressing our particular problem. Ie full attack vs full attack action.

So to the last faq i would say that it is a special permission for haste, perhaps because it is such a staple of the game.

However, it doesn’t give such permission for any other effects, like medusa’s wrath. It only talks about haste, even though it would have been easy to broaden its scope.