What could lead China to build a nuclear-powered cruiser?

What could trigger a Chinese navy nuclear-powered guided-missile cruiser programme?

A move towards nuclear carriers could make a nuclear escort attractive for distant operations, while a rival's actual construction programme could supply a prestige incentive.

The proposed Chinese cruiser is speculative. Nuclear propulsion would reduce dependence on overseas fuel supplies and help a navy operate farther from its existing support infrastructure. Food would still have to be replenished, so the argument concerns one major logistical burden rather than complete independence from supply ships. A later reply adds a conditional prestige argument: if a rival actually begins building a nuclear surface combatant, China might announce a comparable project. No approved Chinese cruiser programme is identified.