I have Michelin Cross Terrain. The CTs have been perfectly fine for me, quiet, good traction in dry, wet and snow performance. It slips a bit on ice. I've seen some with Bridgestone Dueler H/T. I doubt there would be much change for brands between different years.
Unless the vehicle is physically in the dealer's lot, there's no way for them to tell what tires you have. It's the luck of the draw.