No, this is wrong, but you are answering to a post that was also a wrong explanation
This is a second/third degree thing, and because of that, it does not go well in written form
The idea is to say "well, I could care less" ("now that I think about it" heavily implied by a breathing pause and a funny 'I am really thinking about it" stance)
If you just say "this is so stupid, so irrelevant, there is absoluteley no way I could care less about it"
Well, you made your point, but it was a cheap one, because it is always easy, and therefore ignored/unnoticed when you use absolutes ("this is the greatest thing I have ever seen in my life", "the expression [could care less] is the least interesting thing I have ever had to argue about", ... (you get the point))
Now, when you say "I could care less", you are supposed to imply that you actually thought about it, not just giving a robotic meaningless answer, and it makes the point stronger, beacuse, of course, there are things you can, and do care less about, the fact that you are talking about it is the first proof that you actually can care less, otherwise, you wouldn't bother posting/replying at all, now would you ?
It's a matter of style
I usually use this kind of formula/pattern which is based on the same idea/effect:
"I think I saw something ugglier than this once or twice... (pretend to think hard...) hmmm.. yes, err.. hmmm no.. no in fact no, this is actually ugglier"
I just said this is the uggliest thing I have ever seen, but actually giving the feeling I was really thinking about it instead of using a cheap superlative, it makes the point stronger, and at the same time it is funny enough that it is not supposed to offend anyone.