I'm really interested in this view. I suspect that at a large enough size, organisations can absolutely have an emergent... "nature", which is not only characteristic of that organisation, but largely independent of its constituents (the humans). I introduce into evidence the Roman Catholic Church. It is so large, so entrenched in its ways, that it is extremely highly unlikely that an individual within it (including the pope) can substantially change the character of the organisation.
I have a personal belief that humans are to very large organisations (incl. nation states) as cells are to higher-order creatures. Once a large enough organisation has "matured", humans entering the organisation adapt themselves to it (probably subconsciously), and the organisation's unique culture survives.