That FAQ applies to the creature being grappled, not the one grappling. The grappling creature has to spend a standard action on its turn to maintain the grapple. Or a move action with Greater Grapple. They cannot full attack while maintaining that grapple.
It's only the one being grappled.
as the creature that initiated the grapple... If you do not release the grapple, you must continue to make a check each round, as a standard action, to maintain the hold.
if You Are Grappled
If you are grappled, you can attempt to break the grapple as a standard action by making a combat maneuver check (DC equal to your opponent's CMD; this does not provoke an attack of opportunity) or Escape Artist check (with a DC equal to your opponent's CMD). If you succeed, you break the grapple and can act normally. Alternatively, if you succeed, you can become the grappler, grappling the other creature (meaning that the other creature cannot freely release the grapple without making a combat maneuver check, while you can). Instead of attempting to break or reverse the grapple, you can take any action that doesn’t require two hands to perform, such as cast a spell or make an attack or full attack with a light or one-handed weapon against any creature within your reach, including the creature that is grappling you. See the grappled condition for additional details. If you are pinned, your actions are very limited. See the pinned condition in Conditions for additional details.