When Lenin says capitalism > DotP > communism he means the DotP exists until lower phase communism and higher phase communism
However, there is a point where he talks about a state still existing under the first phase of communism (FPC), we should note though that Lenin makes it clear that the state withers away, just not *completely*. This statement clearly presupposes a drastic withering away
In the text above "marxism in the state" and S&R by Lenin, he talks about Engels take on this, how this continuation of the state is no longer a "political state" as we know it but rather as Lenin put it:
Lenin in this chapter of S&R talks about how this non-political state ceases to be a state as the way we tend to use it. The FPC has in a sense an administrative & #39;state& #39; and thus workers need administration skills that to a large degree is already conditioned on us by capitalism
As the text above the suggest ONLY when everybody becomes an administrative skilled individual and can independently use this & #39;state& #39; can full communism fully be established and thus the withering of the non-political state
This is my position on statehood under socialism if one can even call it a state anymore.