It is still part of the system but the rotation of the Earth is too so it has to be taken into account, thus it gains a small advantage if travelling with the planetary rotation and by the same measure loses the equivilent amount if travllling the other way.
Its like being on a train and throwing a ball down the carraige, it will appaer to make no difference to anyone on the train but to an outside observer the ball thrown in the same direction the train is travelling is going to be moving much faster than the one going the other way.
If the bullet/ball were not part of the system the opposite would occur.
The efffect is also more noticeable the nearer to the equator you are as the surafce speed of the Earth is at its greatest at around 1000 mph.
