Not exactly. That implies that Chaotic is seen as being way above baseline. It's more like people want to avoid being Lawful that badly. Lawful is, in many minds, axiomatically the alignment of irrational dickheads who enforce rules no matter what; Lawful Good is thus either self-deluded (the 'Good' part being in name only, behaving as if they were righteous but actually being constantly heinous, cruel, destructive, selfish, and generally just really awful), or is a hamstrung bureaucrat meekly making excuses about what they are and aren't allowed to do while monstrous events occur around them.
I've literally never seen a player choose to be Lawful Neutral (at least as a mortal; LN gods, on the other hand, are extremely common.) I've seen dozens, perhaps even low hundreds of NG, CG, or CN characters. Many of those CN characters are actually either CG or NG because the Good label carries the connotation of being a square, never doing anything fun or joyful. Many other CNs are actually CE but playing in a game where evil PCs aren't permitted, so they're just as destructive and dangerous but like, take time to pet a kitten now and then. All other alignments have shown up now and then.
Good: You've already given the key example. Unpardonable sins. The knowing murder of an innocent person, for example, or...well, to be blunt, sexual assault. Child abuse. There are a LOT of things that, if someone does them, it's pretty clear they're instantly kicked out of Good and can't just go back to it with a quick change. Redemption is hard, and we recognize that there are some acts that maybe there can't be any redemption for, even with an infinite amount of time. For D&D-specific things, becoming a lich is presented this way, to the point that some books will dance around it, just saying that it's horribly reprehensible and no good person would even seek out how to do it, let alone actually DO it.
Evil: I still see bright lines. Consider A Tale of Two Cities. A noble but secret sacrifice not forced by anyone, and which you'd never see negative consequences if you didn't do it. And its very nobility requires secrecy: your sacrifice can't even earn fame. That conflicts with how most D&D eds define "Evil," as it's a rubbish deal to any "rational" (non-Good) mind. The Redemption Equals Death trope is built on this. Self-sacrifice, in a non-self-serving way, is almost axiomatically anti-Evil. It doesn't necessarily make you Good, that very aforementioned trope is pretty controversial, but such actions make it very hard to argue that a person is truly Evil--it's at least "Neutralizing," if you will.
Law: Consider that "steal to save your kid" thing. If a Lawful char's player stole without any hesitation and then covered it up...that sounds like "falling from Lawful" to me. Lawful doesn't strictly mean being honest (many LE types are excellent deceivers), but I'd say it does mean "I keep my word, and make amends if I break it," like how Good says "I do right by others, and make amends if I fail." IMO, "my word is my bond" is almost pure (single-person) Lawful; it's pretty much THE thing separating most LE antagonists from NE/CE ones. Other acts would be, for example, "abandoning my spouse and children to unite with my One True Love" (CG: "my cruel spouse and hateful step-children," CE: "my dependent spouse and children") "arranging for a third party to suffer the consequences for my deeds" (CG: "a third party that got away with other crimes," CE: "an innocent third party").
By comparison...I just don't see such actions articulated for Chaos. I'm dead certain if I used my definition of Chaos, I could come up with them. But the way people actually play and discuss Chaos, there aren't such things. There is literally nothing that could BE a "fall from Chaos," because even something like "staying with your cruel spouse and hateful step-children" will end up spun as soulful individual bravery in the face of terrible hardship or something like that.