The main issue with 2008 wasn't the housing bubble itself, such bubbles are normal and happen all the time. The issue was the extent of the financial over-leveraging (due to deregulation) by the financial firms which threatened the solvency of Main st and Wall st banks alike and the incentives that came out of the synthetic financial products that were engineered over baskets of mortgages. Namely a reduction in qualification for sub-prime loans and increased incentives to offer variable rate mortgages with cliff clauses + continual refinancing + speculation + flipping etc.
Essentially normal people losing their house == expected (though sad still) and would have caused a moderate recession (again, expected). However because of how overleveraged the banks themselves were they collapsed, this spread (contagion) to pension funds, equities, everywhere essentially and because these assets and positions in the funds and banks were held across the world it resulted in the -global- financial crisis rather than a contained RE bubble popping.
The US was able to 'rebalance' by propping up some banks - but in reality they saved 'consumers' by taking toxic loan assets of banks balance sheet and absorbing it onto the fed balance sheet.
CCP can't really do that for houses that are not built.
The other issue is the size of that part of the economy in relative terms.
This is is not going to 'blow over' - everything, including Xi's totalitarian takeover, increased control and repression, issue of age, diminishing marginal returns to growth ...
... this adds up to a 'major shift' in what China is. We saw a different China in the 1990s (quietly building), 2000's (onto the world stage), 2010 trying to be a global superpower, threatening Taiwan, occupying S. China Sea etc, and now 2020's 'reckoning /rebalancing'.
The most likely way this plays out is CCP slowly nationalizes Evergrande and other embattled developers (bond holders and equity investors 100% screwed), sell the unfinished projects to developers that didn't run themselves into the ground for them to be completed. This is already happening.
As much as people want to believe there will be collapse I just see it as incredibly unlikely given both track record and the iron grip that CCP has over the Chinese state banks. Without a failure in the banking sector I just don't see significant enough contagion to cause long-term damage.
This is not what happened. (The Fed never bought the toxic assets. It bought Treasuries and super-safe nontraditional assets off owners of toxic assets so they had the liquidity to resolve themselves. But the toxic stuff ended up in other places.)
Assuming there was political will, there's no reason the CCP couldn't do that for houses not yet built. By definition toxic debt is larger than whatever the collateral is.
Shadow banking and privatized loans are definitely a risk but they don't represent the same scale of risk as we saw in 2008. It's almost certain they explode but I don't think it's possible that such a small portion of the market can markedly affect the financial stability of the nation as a whole.
US (and Western Europe) loans backed by residential real estate were considered "safe" by the world. Loans in China that outside parties need to work backchannels to be allowed to get into will never be considered that safe.