I read books and articles......
You ever stop to think maybe some people that give you your information are bias?
If screw is SOOOOOOOOOOOOOOOOOO superior, and there is NOOOOOOOOOOOOO reason for roots, honestly, explain why they sell roots and still use them. Also a roots needs to be sized right, just like any forced induction system.
From what your describing it's theortical to begin with. A roots will surge and not work right before it becomes useless. Roots can provide more power at higher RPM, and not over work the engine at lower, like a not sized right screw will do as well.
Think about it, a roots compresses the air in the cylinders and plenum, there for as RPM increases it can consistantly compress the air in the cylinders and plenum. If it's sized right of course..... Now a screw compresses in the supercharger, it has more of a limit to the compression, that doesn't vary any, as the more RPM, the equal compinsation of compression to the original amount at idle. You get what I mean, the roots can build more power as the RPM increases (sized right) while a roots will keep a pretty flat power curve, which dosen't give it the top end some engines can take (mostly built drag cars).