You asking tne wrong malay mate! I cannot see the relevance of the hajj.
Early arab history after mohamad showed arabs were not interested in the arabian peninsular at all. Their capital were either damascus or baghdad.
And great cities further north such as tashkent or samarkhand.
Most likely the followed the riruals in mecca and they must have started a day late. Besides, sunday is the official day off in jiu hu too so most likely, sinkie followed to synchronise the holidays.