Of course...
Of course, one who hears someone crying during those happy days will be strongly motivated by curiousity to find out the reasons that caused him to cry, and to ask who is being mourned, what his cause is, and what he had done. He would ask about those who antagonized him and usurped his right. Through such questioning will the truth become clear and so will the best way, for the light of Allah can never be extinguished, and the call to Him is clear in argument.
Such news will be transmitted by the people to those who are distant from its stage once they go home. Those who were not there to witness it would thus come to know about it, and the argument would be completed, so nobody can say that he did not go to Medina, home town of Allah's Hujjah , or that nobody told him anything, nor did he know the Imam's call and of his opponents being misguided. Nobody would thus remain ignorant of it.
Thus do we come to understand the reason why the Imam (‘a) refrained from requiring those mourners to mourn him at Mecca or Medina during the Hajj days: in both cities, mourning is done at home, so how can men get to know about these mourners, and how can such mourning convey the desired message?
The claim that a woman's voice is one of her means of attraction which strangers are prohibited from hearing is rebutted by a narration recorded by al-Kulayni in his book titled Al-Kafi : Umm Khalid came once to visit Imam as-Sadiq (‘a), and she was a lady of wisdom and knowledge. Abu Busayr was then present among his companions. He, peace be upon him, asked Abu Busayr, “Would you like to hear her speak?” Then he (‘a) seated her with him on a couch.
Umm Khalid spoke, and she was a wise and eloquent woman. [^8] Had a woman's voice been prohibited from reaching strangers’ ears, the Imam (‘a) would not have permitted Abu Busayr to hear her. In his will, Imam al-Baqir (‘a) appropriated money for female mourners to mourn him at Mina. This implies the permission of men to hear their voices; otherwise, he would have required them to mourn him at their homes in Medina and Mecca.
But the Imam's reasoning is quite clear, and his objective cannot be achieved unless men heard these women's voices and came to know who they were mourning.