Though there is no Biblical text that says that Lazarus died, there is historical evidence that the man to whom the Gospel tradition attributes this resurrection did in fact die.
While the debate between Jews and Christians may still continue as to whether or not there was a resurrection, the individual (whose real name is Eleazar--"Lazarus" is a Latinized form of the Hebrew name) is a historical one. He was one of the first Christian bishops, known to history as Lazarus of Bethany.
While there are many religious legends regarding Lazarus of Bethany, with both the Roman Catholic Church and the Orthodox Church at odds to where he served as Bishop, the historicity of Lazarus of Bethany is affirmed not only by the Early Church Fathers but by both Jewish and Islamic historians and religious traditions. While only considered a "possible" or "likely" spot of the original burial place, there is a spot in the West Bank town al-Eizariya revered by Catholics, Orthodox, and Muslims as the location of the tomb of Lazarus. So regardless of the argument about the validity of the claim that Jesus of Nazareth resurrected Eleazar/Lazarus of Bethany after being dead for four days, the conclusion of the religions that venerate him as saint is that Lazarus did in fact die (thus the reason for the site of a tomb connected with him).
Again the problem with the Governing Body view is that it is developed from a theology that strives to ignore the fact that the very texts which it venerates as inspired is part of a dichotomy with the religious history or tradition that supplies the basis for its exegesis. A denial of this essential dichotomy or ignorance of it causes the problematic conclusions being discussed here.