A slight twist to this but various banks would class a credit reduce as a credit application.

Yes it might sound a bit crazy but this is what I have experienced when being on the other side. A company that holds a credit license can at anytime credit check you in order to protect them as a business.
They could have a system that rates you and tells advisor's what they could offer you...this could be also reflected on how many credit checks you have ever had while at the bank/company. Now all the above might sound a bit strange but thats what I have seen while working for a few companies and also my own experience with credit cards / banks.
I would just do nothing, if your worried about spending while paying off your card, just destroy it and let it be. Credit is never going to effect your balance that will only be effected by what you pay.