On the turbo side - the potential turbo-RPM benefit could be a thing but would depend heavily on the momentum of the rotating assembly and I am a little skeptical how much could carry over... but I'm no expert so maybe?
The spool part is not really a thing, as the boost controller handles this duty for you. In the simplest form, a ball/spring manual boost controller does exactly what you are describing (holds the gate shut then pop open).
For the supercharger side, certainly does sound interesting!
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