The discusion of structure following strategy or the opposite or both of them reacting to each other is open for years in the field of strategic management (Chandler, Mintzberg, others).
What I wonder is whether the answer (as inconclusive as it is) is the same for public sector or different views / findings are valid for that sub-field of strategic management. Is it asked in that contexts at all?
I did find some publications arguing that implementing strategy of public entity means also adjusting structure if necessary, but that's too little for a conclusive argument.