Imam Hussein was no “martyr” in the Christian sense. He fought a battle trying to defeat the Ummayyyad Caliphs and become the Caliph (=Emperor+Pope rolled into one), and lost and was killed. Is that a martyr??
The answer was, invariably, no.
The local coroner spoke of the pilgrims that die while in route. Landmines, shootings, dehydration, etc.
Many pilgrims paid about $80.00 to unscrupulous "guides" who promised them that they'd be able to cross the border.
They'd often be robbed, or dropped off in the middle of the desert, killed, etc.
More than one person claimed to be the relative of a "martyr", that is, someone who died during the Iran/Iraq war.
Supposedly that carries some sort of prestige or privilege.
The border guards weren't easily impressed or persuaded. It seems that if that were the case, they would have had official documents stating so.