Can an Invisible Blade Full Attack with all Sneak Attacks?

As far as I can see, rogues have no limit to their number of sneak attacks. Using the bluff skill to feint can make an opponent flat-footed, but since bluff only affects your next melee attack, and it takes a standard action, a rogue can only use this method to deal sneak attack damage once per round (once every other round if they don’t have a way to attack outside their turn)

Invisible Blade from CW, however, makes feinting a free action. Does this mean that, for example, a rogue 15/IB 5 can make a full attack, feinting once before each attack, to deal sneak attack damage four or more times?