Seems like a very strange move, especially since JOG is apparently being kept for cargo flights.
Wikipedia says there's a train that runs from YIA to the city center, a shuttle bus between YIA and JOG, and a new toll road in the planning or construction phase:
https://en.wikipedia.org/wiki/Yogyak...port_Rail_Link
The two former options would probably make the trip to the Hyatt a 90-minute journey, since going into the city would be a detour.