Picture the Kemer coast as a road with Antalya at one end. Kemer town sits roughly in the middle of the resort stretch, about 58 km and 70 minutes from the airport. Keep going south and you pass, in order, Kiriş, Çamyuva and Tekirova. They are close to one another, so the difference in journey time between the first and the last is only around ten minutes.
Your driver goes straight through Kemer town without stopping, because the transfer is private and carries no other passengers. That matters more on a southern booking: on a shared shuttle, the hotels further down the coast are usually the last to be dropped off.