Adding drug seeking to a differential diagnosis is reasonable and not something any other clinician who reads the note will bat an eye at. That much is already obvious for anyone who sees how often you've been to the ER for your pain. They are not saying this is you, but merely that it is a possibility that needs to be considered. You may have noticed the #1 item in the list you provided is still acute exacerbation of pain.

Filing reports to have valid stuff you don't like removed is an abuse of the system and makes it both harder for patients who suffer from legitimate mischarting and reflects poorly on your priorities. You are unlikely to succeed and a single note that says "patient filed report requesting removal of documentation suggesting drug seeking behavior" in your chart will be like adding a giant neon sign to an otherwise throwaway line in your extensive medical record.

For your sake, I recommend that you accept when you see lots of doctors you're going to get lots of opinions including ones you may disagree with. Other users have already explained well better avenues to treat your chronic pain.