I'm not an expert, but that wouldn't really fit with my understanding of ADHD. It's not that we have a lack of attention ("defecit" of attention, as the name suggests), it's an impaired ability to direct it.

To abuse a metaphor, the sleep-deprivation-induced spontaneous CSF flush is slamming on the brakes of a car, and ADHD related attention shifts would be more like a drunk toddler is turning the steering wheel wherever they please, but the gas/brakes still work fine.