There have only been two players in major league history named Kyle who have amounted to more than 4 WAR (Baseball Reference) over their careers:

Kyle Lohse and Kyle Farnsworth.

There have been 17 players who have gone by the first name "Kyle" in major league history. Three of them have played for the Royals (Kyle Davies, Kyle Farnsworth, Kyle Snyder), and none of them had accumulated more than 1.7 WAR for the Royals.

Kyle must be an unlucky name for baseball players, and especially for the Royals.