Current account status should say paid/settled CO or collection.
A charged off account is just as damaging to your score as a collection is, paid or not. When you settle, that settlement notation is scored on par with the CO or collections. You will not lose any more points, it is just changing out one negative for the other.
It does state in the statements that the account was paid/settled.
Just paying a charge off does not change the fact that is was a charge off. It will always be a CO only a settled one. And that is what you are scored on.