Saying that process is a necessary side effect of growth is like saying cancer is a necessary side effect of age.

I don't think you have the causation quite right --- it's not necessity that forces the adoption of process exactly. Process is what you get by default if you don't consciously counteract natural human tendencies in management. A lot of large companies stop consciously protecting their culture, so they get the default big company culture instead. The default big company culture is ever-increasing process.