Is triggering player/unit different if I use a wait?

[SH4D0WS1N]

Like, let's say I have a trigger that does this (example trigger, not my actual trigger)

Player presses a button

Pick a random unit in owned by triggering player
kill picked unit
wait 15 second
Pick a random unit in owned by triggering player
kill picked unit

If another played clicked the button before the wait 15 seconds ended, would the second pick a random unit in owned by triggering player refer to the triggering player of the first time it was run or the second?

Sorry if my question was jumbled up while I was trying to explain it.

 

[Frozenwind]

Triggering unit / player will always be the same. It's a build-in local.

However, thinks like "Attacking Unit" or "Entering Unit" etc. would bug how you described --> in wc3.
I haven't tested it in sc2 yet, but you can simply store them in locals to make sure. It doesn't take more time, as locals in sc2 are available in GUI.

 

[Galdiuz]

All stuff under "Trigger response", like attacking unit or entering unit in wc3 was local, and it's the same in sc2. Actually, I think that even things like last created unit is local in sc2 too, not sure about that though.