By your very own logic, I could argue that dictators have more carte blanche to make correct choices, where democracies are mired down by compromises and too many cooks in the kitchen.
Going to war and killing people is "a mistake". Let me rephrase it for you:
The fact that democracies are the same murderous criminal fucks when it suits their goals as are dictators. Yes the have more problem having their population to approve it but do they give a flying fuck?
In a democracy ideas are ingrained in public psyche for support. Be it Muslims/Jews/Christians good/bad, immigrants evil, abortion bad all become part of a large percentage of people's belief and changing that requires equally herculean efforts.
In autocracy, people are generally kept aloof of such decisions so you can always switch enemies from Eurasia to Eastasia and no one cares. In case of China, the value of Taiwan/Arunachal/... is mostly egoistical, based on some notion that Qing China boundaries must be restored. If tomorrow a new leadership comes and makes EU kind of setup with Taiwan, people will have no say and most won't care.