Branching from this discussion, has there been any timelines about Tamerlane living to conquer China and establish a dynasty there? What would an Islamic dynasty ruling China be like?
Honestly, I'd say Timur wouldn't have a chance.
He wouldn't be able to invade China even if he tried - at least not without losing thousands of his men crossing the mountains of Tibet or the Central Asian arid plains.
Highly unlikely but if he tries to strike at China instead of Delhi then the butterflies are huge.
Could we see some sort of Mughal-analogue dynasty in China?
Could we see some sort of Mughal-analogue dynasty in China?