Whirlwind Attack exchanges attacks in a full attack action. It isn't a full attack action. It isn’t even an action. Nothing in its description states it replaces or is an action. Consistency requires Ki Whirlwind Attack allow you to exchange attacks. If as you say Ki Whirlwind Attack is simply a standard action, it would do nothing as you don't have attacks to give up.
With Ki Whirlwind that becomes:Originally Posted by Whirlwind Attack
The quotation is verbatim of Ki Whirlwind. Or you can use the attack action. Full attack is to full-round as attack is to standard.When you use "a standard action," you can give up your regular attacks and instead make one melee attack at your full base attack bonus against each opponent within reach.