Soviet KN-3 reactor on Kirov class cruisers (2 units) and also intended for Ulyanovsk class CVNs (4 units) is a purpose-built surface ship reactor with 300 MW (70000 hp) output. 2 steam boilers on Kirov are just a back-up in case of reactor failure. Admiral Gorshkov did not want his flagships stranded somewhere in the middle of Pacific.Submarine reactors are good for about 30,000 HP. A carrier reactor need to be 3-4 times more powerful. The Soviet Navy had far deeper and broader experience with submarine nuclear reactors than the Chinese navy. But even the Soviet navy repeatedly put off designing a true surface ship reactor in order to avoid the risk. The mixed propulsion in the Kirov class semi-nuclear cruiser wasn't adopted out of some inspired compromise as some western commentators have suggested. It was adopted because the Soviets chose not to undertake to design a proper surface ship reactor, and used weak submarine reactors instead, thus necessitating an extra oil fired booster boiler for maximum power.
So for the Chinese it is prudent to use proven conventional propulsion technology with their first CTOBAR carrier in order to minimize possible delays in getting her into service.
Soviet boat reactor OK-650 has 190 MW (43000 hp) output.