In think that if the communist would become too powerful, there would be an attempt by the oligarchs to have the amy crush them. Kinda like what happened in 1992.
The only reason why Putin succeeded was that people underestimated him at first. They expected a pliable puppet and they didn't count on a rather ruthless, yet charismatic technocrat.
Yes i said charismatic. Unlike all the screaming you hear, Putin would hands down win any election in Russia, regardless. Reason is that he has a proven track record of improving the life of the average Russian.