Just won this Carina GT-TR badge today on http://auctions.yahoo.co.jp:
It’s not meant as badge-tuning, but rather keeping it for the future: when the engine (and transmission) will be swapped and it should be badged as a GT instead of DX. ;)
Oh, and I realized lately what most probably is the height difference is between the GT-T and GT-TR and the GT and GT-R: R spec cars had bigger wheels (kouki spec had 15 inch instead of 14 inch) so the height of the car increased as well!