What I did was is to make the default ticket type "New Ticket" and then as part of that, added a custom field that was mandatory to be filled out that I called "Reason for not changing ticket type".
The problem is that people (one person in particular) put "NA" or "don't need" or some such in there.
I ran a report the other day for this year's tickets that were closed as "new ticket" and we had 158. 145 of those is one person. He's having fun going through each of them and fixing them individually. I COULD show him how to do it in bulk, but this way he'll learn. I hope.