Is cognitive dysfunction a type of neurological damage or is it something different?
Cognition is basically the ability to think. Cognition is a neurological function and therefore cognitive dysfunction is a form of neurological dysfunction. Getting at the specific wording of your question, there can be dysfunction without structural damage so under some circumstances there may be dysfunction (cognitive and therefore neurological) without lasting/structural neurological damage. For example, if you don’t sleep for 2 days you will have cognitive dysfunction but neither cognitive damage or neurological damage.