CCP cares way more about maintaining control than in ensuring stability. I'm sure they have plans in place to shut the whole market down if they decide it needs to be done.
That may be true. But I think they also see lack of stability as threatening their ability to remain in control. So in practice, they care a great deal about stability.
Revolutions grow out of revolts. Revolts grow out of riots. CCP is remarkably adept at managing riots. For riots to grow, you need revolutionaries to amass power. CCP is remarkably adept at policing this kind of action too.
The CCP isn't going away anytime soon. Xi Jinping has way more to fear from intra-party power struggles than from grassroots activism.