It's a different kind of manufacturing.

China leads the world in battery manufacturing, it's not really so hard in an absolute sense, but gee do you have to get the cost down and get the quality up so you don't have batteries blow up because of manufacturing defects.

To make gas turbines though you need to get the last bit of performance available out of metals, manufacture parts with punishing tolerances, and do it with high quality so turbines don't blow up because of manufacturing defects. At this point in time China cannot make competitive gas turbines. China's COMAC C919 airliner is 100% dependent on western engines for instance.