Well, I would argue that depends very much on the basis of your calculations. Closed source software means public services are held hostage after a company winning a contract. In Norway some Finnish company won a contract for some digital system in the health services and later wanted them to ship all their computers to Finland so that they could update their software. In a paradigm were governments commited to Linux and open source software, there would most likely be a lot less overhead in adapting and developing solutions for Linux.