Holacracy and other 'flat' structures, as far as I'm aware, don't claim to get rid of management (the verb). My understanding is that they aim to distribute decision-making to the front lines so either get rid of management (the noun) or in the case of Holacracy define a constraining structure to take the whim out of management. It seems a bit like the way a constitution iterates the powers of goverment to empower the citizenry.

One of the popular references in this area is the USMC's book Warfighting (free PDF, Google it), which lays out their doctrine of Manoeuvre Warfare, i.e. that by optimising the speed at which your force can react and manoeuvre you can overload your opponent's command structure. To do that they distribute decision making to the greatest feasible extent under the premise that a squad leader on the front lines has the most accurate information, so must be empowered with the right amount of context and self-determination within their orders. Rather than "take that hill" it's more like "we need to advance to X, and the mortar on that hill is preventing us".

Anyway, the main point is that nobody to my knowledge is suggesting we get rid of management (the verb), and nor is anyone saying that we should ignore the power structures inherent in hiring/firing/remuneration.