Yes. Well, I know the 350 has less clearance up front at a minimum so I am assuming so. I have owned a 17 GT350 and currently own a 18 Mustang GT. I guess it could be the front fascia is lower and not the roof top but I can 100% confirm that my GT clears some bumps and driveways that the GT350 did not.
This is after lowering my GT overall by about 1.25" to 1.5" between rims/tires and shorter springs.
The reason I ask is because I sat in a GT350R recently and the salesperson said its the same height. I couldn't tell if he was bluffing or if he was telling the truth.