Mamluks were specialized indeed, my bad. Though they were also light cavalry units. Muslims did not have any kind of heavy units (as far as I know) until the ottomans came into the scene.

Yeah, but the Muslims didn't have specialized units (i think) so it's only light cavalry and skirmishers + light sword/spear infantry. Unlike the fully tranined Swiss or French heavy knights for example. They kinda were all levies and every person had their own weapons and horses like back in the Roman Republic times.

Muslim Armies (I think) were not full-time armies. So people would sometimes want to go back home after the danger is gone.