"Overdraft privilege" is a term promulgated by one of the vendors of overdraft services. Your use of the term implies that you promote overdrafts and, therefor, do have a responsibility to make certain disclosures to the consumer.
Regardless, you are not required to give advance notice of the consumer's ejection from either a promoted or an ad hoc overdraft service. You never promised that you were going to pay their NSF items anyway and you are certainly not obligated to do so.
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In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.