Self correcting is a trait of self awareness and use of intelligence guided by wisdom. Not an alignment trait. Libertarians embrace chaos. They think people will adjust and it will all be ok without rules. Self correcting for your mistakes or to change how you do things to obtain goals is not a lawful act. It's an act of intelligence and wisdom to adjust to the world around you so you can succeed. Any creature of any Alignment can do it.I mean, I still think that that is "chaos"--after all, mathematical chaos is 100% deterministic, it's just extremely difficult to predict because it's extremely sensitive to small changes in input conditions. Isn't that what all that "freedom, adaptability, and flexibility" captures? You're sensitive to the smallest differences in input--context--and thus your behavior changes in ways that are difficult to predict, even if it follows with eminent logic from your beliefs and information.
For my part, I see Lawful at its best as requiring open dialogue, clear boundaries folks can understand and work with, and equality before a common standard. At its worst, it silences any voice that isn't perfectly formatted, places unnecessary and draconian limits without explanation or recourse, and forces everyone into one-size-fits-all solutions.
Chaotic, at its best, expects each person to be worthy of their authority by their own merits, tailors action properly to each context even if it means changing one's tack, and puts freedom and autonomy first. At its worst, it creates a might-makes-right world, throws all principle to the wind to act with wild abandon, and leaves people high and dry in the face of ruthless exploitation.
I, personally, think that Lawful is better at self-correcting than Chaotic is--more or less, sure, if we could have an ideal perfectly-functioning Chaotic society that would be awesome. But it's an unstable equilibrium and there are many forces acting to push it away from that. Lawful offers many, many stable equilbria--they're just often not the best equilibrium we could reach. That's why it's critically necessary to re-evaluate. The Lawful society--or person--who becomes complacent instantly invites disaster, and I don't mean complacency in terms of enforcement, I mean in terms of self-reflection. Remove the stye in your own eye before you attempt to remove the speck from your brother's.
This is why we keep having alignment wars because Alignment is just the belief in how Law, Chaos(freedom),evil (i can hurt people to benefit me) and good (I can't hurt people to benefit me) should be the base of laws, actions and belief structures. It will affect decisions but won't necessarily prevent things like fear, or , self correction, or ego and pridefullness convincing someone that the ends justify the means. (which strangely can be done as an evil person doing good to get to the evil end. Just as much as a good person doing an evil thing to achieve a good end) . Any good person can be afraid and do the wrong thing. They'll just know it was wrong. Any evil person can do a good thing because it achieves long term goals. Or because they are in love or just in a good mood. I really wish DND would clearly state that Alignment is a view of how the world should run not a personality type. Because the idea of Alignment as a personality type is what gets us Lawful Stupid and Chaotic Crazy characters that never ever allow situations or actions to influence thier wierd and crazy behavior.