Leave Feedback in won auction

I’ve disabled the messaging system as I don’t want users mailing each other through the system as we are the ones that (single user auction) that are placing everything up for bid.

When a user wins an auction, when they go back to the auction page, they have the option to pay and also we see a button for “leave feedback” which takes them to our profile and tells them they have no permissions to view. Is there a way to disable this button?