A socialist state under the people's democratic dictatorship led by the working class and based on the alliance of workers and peasants.

I think you're ignoring some of the poetic intention of those words, the idea is that the Marxist collective is the dictator. It's turning the concept on its head to put the people at the forefront.

In other contexts such as casual conversation here in the West the term dictatorship means something quite different and you seem to understand that too because you say they're "on the road towards having a dictator" which is surely an admission that they currently do not have a dictator and are ergo but currently a dictatorship.

I'll certainly grant you that Xi has made moves to consolidate power in the individual but that's a separate discussion.