To accomplish what I needed, the following snippet does work as "requested". Basically for a ring event, when a player is participating in a trigger zone that encompasses the ring event which consists of 5 waves of enemy aircraft, this script identifies the player by unit and sends only them the text message. Thanks for the help!
local u = mist.getUnitsInZones(mist.makeUnitTable({'[all]'}), {'alphatriggerzone'})
for i = 1, #u do
local _uName = Unit.getName(u[i])
trigger.action.outText("Good Kill ".. _uName, 2, false)
end
That is all. thanks!
74DELTA's post in Text to specific players in zone was marked as the answer