Not All Good People Are Sane & Not All Sane People Are Good

I think this is a general rule that could apply to any set of terms.
Not the rule of 'good' vs. 'sane,' but the rule defined as:
Not all of us who are this are also that, and not all of us who are that are also this. While some people are A and B, being A doesn't make you B, and vice versa.

An obvious example:
Not all parents are responsible (as opposed to what we may expect.) Likewise, and obviously, not all who are responsible are parents, or will be parents, or could be, or in some opinions should be...

What even surprises me is the peculiar accuracy behind this claim. Could you find truth in any pair of labels that you plug into this definition?
Try it.
Think of two groups/types/labels of people. Some may seem obvious; some silly; some outrageous or completely absurd. But for any pair of labels, I'd bet that I can justify your claim, or question your doubt.