Exactly - we can't do what SteveIce10 does, because we have no access to AM services. Also, those .db files have not been fully figured out yet (thus we can't do any edits). It is highly unlikely the console ID is anywhere else inside the ticket.db but in the tickets themselves (why should it?). You can try to find out, though. Find a clean ticket.db first, then try to find the console ID via a hex editor.
Yup, good answer. There really is no good reason for a standard user to have a full sized NAND backup. Everything you need is there, in the min size one.
I checked my title.db today as well. It turned out, that my title.db also shows some entries including unique ids. Interestingly I never installed or requested one of those games on my 3ds, I didn't even know that nintendo has given those games away for free, however. How can I delete the ticket entries (Virtual Console + Ambassador)?