By response time I mean how long does it take for the system to begin delivering air cooled to the system's operating max. Not a good description, I know.
For example, though, my Trane XL1200 will start kicking out cooled air within a minute of it turning on.
My only experience with absorption systems is the old gas refrigerators. They always seemed to take about half again as long to come to operating temperature as a traditional compressor unit.