sorry to hear about your childhood experience FFF :(
My point earlier wasn't supposed to upset you. I think some people never own up to anything; others will just confess to get out (see our legal system...)
If your dc are between 6 and about 10, read Chicken School with them (or we got the audio book from the library). Perfect example of the above, and the teacher couldn't punish teh one who confessed as they were so obviously innocent!
Agree with Cory that it's about the individual, and that my dc aren't difficult or deceitful. They own up readily to accidental damage, for example, and we move on.
But like you, I was punished severely as a child, and found it really difficult (impossible)to own up to anything. Even now as an adult I find it really difficult to say 'sorry, I was wrong'. But I did own up to cutting a blanket by mistake while leaning on it to cut paper with scissors. I owned up about 35 years later, much to my siblings amazement and amusement.
I think my background means I have a more tolerant attitude to mistakes/ accidents and general wrong-doing, as long as we can learn something from it.