Delay is not an action a Character takes. It is an action the Player takes. It is a game artifact of initiative, players taking turns separately, etc.
Delay is a meta-game action that does not interact with in-game effects. Delay, delays when the player takes their turn. The character is not idling away the seconds. The character is not actually delaying.
The six second round is abstract. Good initiative doesn't mean you go in the first second, and poor initiative doesn't mean you are moving in the last second. Each character is doing their thing for the full six seconds. EVEN when the player is delaying.
Finally, do you really need someone else to tell you how to handle every single vague situation? DM up and decide how it works in your game. Done. Stop endlessly posting and go play some Pathfinder.
