A turbo is a design optimized to be driven by exhaust not an electrical engine. It requires very high rpm to produce useful boost. You would think that a pump/kompressor optimized to be driven by an electrical power source would easily be much more energy efficient?
To keep a turbo always spinning seems to be even more wasteful since it needs to be working constantly off boost. A pump would just need to keep pressure up. It's obviously a lot more to it but the concept of using a device optimized to be driven electrically than driving a device optimized to be driven as a turbine by exhausts seems reasonable to me.
The electrical power source could be a generator hooked up to the turbos to take advantage of surplus energy generated by the turbos with battery backup. A KERS like system with charge and discharge operation should suffice if the intake system uses a clever valve system to keep pressure between charges. Maybe...just speculating here