I thought about that, and without looking at the rules for pounce, it makes sense. I may suggest to my DM that he houserule pounce to work in this fashion.
However, it clearly doesn't work this way in the rules. Since pounce works in "the first round of combat," it's pretty clear that the following scenario allows a pounce:
1) The tiger and the archer see each other simultaneously.
2) The archer wins initiative and shoots the tiger.
3) The tiger moves toward the archer and pounces.
In this scenario, the archer isn't flatfooted.
However, the more I think about it, the nastier I think pounce was in Friday night's session, the way we were playing it (i.e., that the tiger's first round of combat was dependant on when it entered combat). So I may suggest the following rule:
-A creature with pounce may ready a pounce against any creature that isn't aware of the pouncer (e.g., a group of adventurers plans to open a door to attack the ogres beyond; the ogre ranger commands his tiger companion to pounce on the first person to come through the door).
-A creature with pounce may pounce on any flatfooted opponent.
Daniel