Quick google search shows that China has its own Quartz mines, so I'm not sure if those are unsuitable for certain semiconductors or if the use of "world" here just means 
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i am like baby when it comes to tech manufacturing but i do happen to be aware that quartz is an exceedingly common rock, so what on earth is this about
like do semiconductors need literal tons of quartz? very specific kinds of quartz? this is genuinely baffling
Quartz is pretty common as a digital oscillator but it's possible to use other methods. Certain iPhones used a different oscillator that are sensitive to atmospheric Helium.
Not sure where else in the supply chain it's needed, and how easily it is to swap quartz oscillators for other components in existing designs.
MEMS are also made of silicon. ~~quartz oscillators were basically the first MEMS.~~ (i wrote that but actually its not true lol. something else cool is saw filters which kind of build on the concept of quartz oscillators btw) cool fact: the reason helium kills MEMS is because the atoms are so small that they can diffuse their way through the wall of the device, filling it up with helium and the air resistance then stops it from working!