True, but Chairman Xi is turning it up to 11. The Chinese Communist Party has since Mao's death and the Gang of Four, has avoided building a cult of personality around a single leader. The Party, not an individual was firmly in charge.
Now, Chairman Xi is building a cult of personality around himself. He has effectively placed himself above the Party. This is the point at which, if he was not (nominally at least) a Communist, he would have declared himself a god.
He is viewed quite favorably by Chinese citizens and his wife is a really famous and popular singer. His father was of the mold of Deng Xiaoping, went through the same hardships that Deng went through under Mao.
He will not be one to build a cult of personality as you suggest. Likely the furthest from that.
And while it may still be called the Communist Party, in reality it is one party rule. Communism has been shed. When it comes to economics, it is the capitalist party.
In short, the Chinese citizens want political stability because of what they went through in the cultural revolution. That could be driving this, exactly the opposite of what you suggest. That would be my take.