No, the problem is that everything has a relative value and someone needs to figure out what that value is. In free-market capitalist societies (and I'd argue in the other ones as well), money serves as an important heuristic for value.
More concretely, do we, as a society, produce more fuel efficient cars or do we produce electric ones? In a free market, it's clear the one that sells will be produced. In a controlled economy, the process is murkier and runs through bureaucracies (and therefore lobbyists) and possibly lawmakers (and therefore more lobbyists).
So free market capitalism is really a form of crowd-sourced decision-making. Alternatives would need to invent a working model that can prioritize (in the face of difficult facts, even) in an egalitarian way, balancing the needs of different interests.
I read through the linked page. I didn't see anything describing how that would work, even in the Chomsky link.