Our Kings And Hajj
This is more of a history question than a religious one so it is better to ask a scholar of history. Secondly, it also does not seem like an issue to me. Ottoman and Mughal Empires were not Pakistani (i.e they were not exactly our kings). And from a Muslim point of view, neither of those empires are presented as ideal examples for Muslims. That position mostly belongs to the Rashidun Khalifat.