I wish they did.
There is maybe the matter of the Israeli radar + Barak 8 and Indonesia-Israel relations (which are still informal) maybe limiting how such systems can be exported or re-exported. MRSAM (improved Barak 8) is also a joint venture in the end with Israel, so they have IP share.
Making a more exportable version of this destroyer is not priority for India, given shipyards are stretched to capacity to begin with for local orders. Shipyards need more investment for expansion going forward.
A full ToT with say PAL shipyard (and say they customise as they want), that could be considered in interim I suppose.
But how would that stack with say proceeding with Mogami where Japan has good capacity + interest to export 4 and transfer ToT for Indonesia to build 4 after?
Does Indonesia want the extra tonnage (and I guess endurance) of destroyers in say 7500t class or is heavy frigate/destroyer in 5500t class etc a better fit for its strategic allocation going forward?
i.e was the Chinese (export) destroyer project a serious contender in the strategy to begin with? I am unfamiliar with many of these matters.
For what i can get from current Indonesian Navy naval strategy and posture outlook, the Navy still need at least 18 ocean going large Frigate in various roles (ASW, AAW, and such) in which comprised of three full Naval Escort Squadron so they can fill all of the Command fleets with full "Frigate" Squadron. Meanwhile they also found they need dedicated large combatant surface warships in which also has Admiralty command facilities. Thus the need for large multipurpose Destroyer with inclined toward AAW and strike roles. From the information i can get they need at least three of such vessels, one for each Naval fleets command.
From the funding progress, i can said Indonesia only able to secure two Arrowhead 140 and three FREMM Frigate, so still far off from the target of requirement.
There is also need for each Command fleets to have smaller but ocean going/high seas capable Frigate/Corvette/OPV in matching number. So far the Navy already have four Diponegoro class Corvette, three Fatahillah class Corvette, three Bung Tomo class Corvette, two Martadinata class Frigate and now in the progress with two OPV 90 class and also secure the funding for at least another two more OPV 90.
Chinese offer is politically driven, and my bet, if certain party won the election, and put their own as Minister of Defense, Chinese weaponry would flooding Indonesia Arsenal in near future.