Is the awareness that something that is not truthful is a lie what the primitive societies don't have, or is it the absence of any untruths? Because we are hardwired to be capable of dishonesty. Even Chimps lie.

Capitalism isn't the only economic model that leads to concentration. Any economic model in which access to anything at all is centralized (as it is in historical socialist and communist models), the desired thing that is under the control of the centralized authority will be subject to concentration. And I think that is the most important point. It's not the particular economic model that encourages such corruption, it is the centralization of authority and access to resources that encourages corruption.