Compound interest of alignment

If software solidifies organisational structure, then what happens if you re-structure?

Brooks in his “The Mythical Man-month” cited Conway’s seminal paper on the relationship between software and organisational structures – the basic idea is phrased as:

Any organization that designs a system (defined broadly) will produce a design whose structure is a copy of the organization’s communication structure.

In other words, software solidifies organisational processes and structures.

What happens when you re-organise? And re-organise again? And add more software. And re-organise?