Switzerland has a long tradition of building tunnels, and they have one of the strongest economies in the world. I suspect they have done their calculations. Besides, it seems like a big part of the argument for this project is to reduce the environmental impact the increase in goods transportation have. So even if it is more expensive than a traditional road, they are willing to take the cost. That said, building roads in the Alps is very expensive, so it's not given that this tunnel alternative is that much more expensive.
I think this initiative is brilliant and hope we can try out a similar approach in Norway. We have extensive experience in making tunnels and in automation and should be able to build something like this.