To match the growth expansion of prices? Absolutely not.
An apartment not even within main cities or rather 2nd or 3rd tier cities will still cost 300-500k USD, is made of questionable design and safety, isn't much more than a concrete box, and you don't even full own the land but rent it from the builders who actually purchased the right from the CCP for 70 years.
Two seconds on Zillow you can see tons of properties for $300k that are neither 250sf or plastered with bullet holes.
One of many examples:
https://www.zillow.com/homedetails/205-E-63rd-St-APT-10H-New...
What you've said is true, but that doesn't mean the problem in big Chinese city is anywhere easier - the housing price is beyond afforable even for the affluent salaries. In my experience, large cities in China are more like Hong Kong where people have to work over 50 years to afford a house rather than 27 years.
I live in Beijing, and the rent I pay is around $1100 per month, but the valuation of the house is conveniently around $1.1m - it's 1k months or 83 years. As a senior software engineer, I earn a pretty decent income but it would still cost me to work several decades to buy that.
As another example for your reference, a colleague of mine - he saved money for quite some years by renting basement and spend nothing other than necessities, bought an 60m² old khrushchyovka (that old poor commie block the western world always laughing at) for around $1m. His story is very typical in China: even though he is that hardworking, he didn't afford it on it's own, but also plus his wife and 4 of their in-laws (it's so common that in China we call it "drain 6 pockets").
[1]: https://www.lincolninst.edu/sites/default/files/pubfiles/sun... see page 11
If the majority of population lives in rural areas, the prices of big cities have a major impact on the average, skewing it.
But actually people living in the big cities can afford housing more than a person with "rural area" salary can afford the average price, even though they are most likely able to afford the much lower prices in their area.