No, because pressure is the applied force per unit area, e.g pounds force per square inch. 38 pounds per square inch is required to support the weight of the car on the tyre contact patch, neither of which change.Hope that made sense.
No it didn't so 38 psi it is then
The GTD is like a blow up doll. The GTI is like a proper woman. Sure the doll might last longer, and the woman might have higher running costs, but which would you rather have?