The claim wasn't that there are rich people in the party, but a particularly rich elite that supposedly rules the party from the shadows. When you compare the corporate influence in US politics it is supposed to contrast to something like the DNC being a completely democratic institution and not ruled by like half a dozen families and their billionaire friends.

At this stage of SCC it is impossible to completely remove influence of the capitalists in the party, but it is also impossible to frame that as some sort of highly corrupt party elite supposedly ruling democratically. It is not hard for someone to find points to criticize the CPC, it just requires them to not be mad drunk on ideology.