Yes, the fuel provided from the accelerator pump will be the same. The fuel supplied by the pump bypasses the carburetor so it adds to that supplied by the carb. In fact, by utilizing the accelerator pump you can prime the engine for starting and this is often the preferred way. In some types it is the only way of priming the engine to start. Amazing to me is that the hand primers fitted to the 150/172 series may only provide fuel to just one or two cylinders. In this case I always find that using the accelerator pump by pumping the throttle is preferable.