If anyone is guaranteed to have ~$100 at the end of the month, whether they consume or produce or not, there is no need for money. It’s just like when everyone is rich, nobody is rich and when everyone is upper class, nobody is upper class.
Another legitimate question, course.
In pure communism (as I would argue to be nearly synonymous with anarchism) yes, this would be the case. As you said, if everyone has the same amount of money, then money becomes irrelevant. It is merely a middle man between man, his labor, and the fruits of said labor. It is an arbitrary value that attempts to classify the importance of a certain position in society or economics which of course is silly because no position can be factually be proven to be any more or less important than any other. It is entirely subjective. We should be able to realize that without ANY position of society, society would not function properly. Thus, they are all equally important. Or rather, if a position can be removed without consequence to society at large, then that position is pointless to begin with.
Be careful however when you say “whether they consume or produce or not.” In a true communist economy, this would never happen for many reasons:
First and foremost is the the societal rhetoric surrounding the idea of labor. People would see an importance in their work and all work would be valued. This is mostly because jobs would not be labeled with monetary and social importance. For instance, no one really wants to be a garbage man or work at McDonalds because it is not good money, it is not viewed as important and employees are viewed as social failures. This would have to change.
Second, societies would be much more locally oriented and inward looking politically. People would be immediately and actively engaged. This goes very closely with the importance of the education process surrounding the stigma carried by certain jobs - that there would be none. People would view all jobs as important and be willing to do that which best suits their skill and interest level.
Really, the entire goal of communism, especially in this modern age, is to pull people away from the governmental dependency and bring them back to more actively engaged lifestyles; thus making people harder working, giving them immediate control over their own lives, and increasing the overall standard of living on a global level.