Even if they did, there would be very little certainty that people would trust them, or, more importantly, their successors in the same positions of authority. The only effective "apology" and "commitment" from them would be opening up their society in some way, perhaps along Neo-Confucian lines, i.e. with a sort of assembly of widely-recognized "wise scholars" that could veto/overrule the executive on such matters (Somewhat like the U.S. Supreme Court). But either way, it would be a real challenge to the current setup of authority in China, and any sort of change is inherently hard. So they'll just keep muddling through like this, even in ways that may seem obviously undesirable or even silly to outsiders.