Perceiving a manager—no matter how junior—as simply "dead weight" signals a failure in the organization, the individual manager, and/or your own perception. In addition to ensuring accountability, a good manager also helps to shield subordinates from the bureaucracy that is inevitable in large organizations. This work may not always be visible.
But chaos is also inefficient. The best possible management minimizes both the chaos and the bureaucratic inefficiency, to get optimum output from their organization. This does not happen without management - the "natural state" of an organization is not as efficient as the optimal state.