when test riding, check if the throttle feels stiff. in 02... there was a warranty fix that took a very stiff and uncomfortable throttle cable off and replaced it with a much free-er and smooth-er one. mine was a different bike after that mod. The LTE is very nice because all intercomm, CB, radio, CD, AM/FM, cassette... is integrated. If the bile comes with wired in helmets maybe that is why over $13K. $11-$12K is a fair price for a perfect 02 LTE.
Maybe the throttle, the tires, and some tip-over scratches could help U haggle. good luck... let us know how it goes.
Final haggle-thing I'd possibly ask is for them to spring for the 12K service little early... worth a grand right there.