The range of boost gives flexibility rather than the range of compression - high compression improves thermodynamic efficiency.
In the turbo thread I asked why they don't run the turbo full power all the time. The answer was something about running too lean destroys the cylinder heads or it fails some emission thing or something. Running super lean creates a lot of nitric oxides and that's a direct cause of acid rain.
Don't quote me on that though. I just repeat stuff I hear at the beauty salon ()