If anything - Military airlifters prioritize resiliance and redundancy (both of which are crucial parameters for wartime operations), meaning that airlifters that are at least Il-76-sized will have 4x high BPR turbofan engines, despite those engines being less powerful, less fuel-efficient and less economical to operate than their civilian counterparts.
For China's case - A very large strategic airlifter that is either somewhere between the size categories of the C-5M and An-124, or slightly larger than the An-124, where both options having particular focus on the cargo bay dimension would do. China doesn't really need An-225-sized airlifters (and even the An-225 was born out of special needs for the Buran space shuttle program, rather than actual airlift needs by the Soviet Air Force).
This means that the 350 kN-class CJ-2000 isn't going to be needed for such airlifters, let alone the 450-490 kN-class GE9X.
Therefore - Either a derated version of CJ-2000/AEF3500 or a new high BPR turbofan engine with max thrust of ~240-280 kN would do. Somewhat greater thrusts than the F138-100 and D-18T for greater payload capacity, alongside better operability at short runways/strips and at high altitudes should be sufficient for the airlifter's needs.