I used this option when Visiting DSP. I booked the W Hotel and they offered this option. It was well worth the expense. At the time, there was major construction going on at the airport, not sure if it is finished, and the arrivals hall was quite cramped.

A person, with a sign, was waiting for me shortly getting off the plane and took my passport while I was escorted around the long lines at Immigration to the baggage collection. My passport was returned to me with an Indonesian arrival stamp.

I do not believe the airlines offer this option but some Hotels do.