The transformer creates two electrically isolated circuits or systems; therefore, it is not possible to "carry through" a neutral. The 208Y/120 V 3 phase, 4 wire system, by definition, has a system neutral conductor and requires the neutral point of the transformer to be connected to this system neutral conductor. The system neutral point is also required by code to be connected to ground.
The 460 (more commonly 480) V, 3 phase, 3 wire delta system, by definition, does not have a neutral point and no neutral conductor is required.