Maybe what's needed is a button that says "for the next N seconds (maybe 15?), accelerate slowly, then decelerate back to normal speed", and you can hit that button at a rate that lets you process what you're seeing at a comfortable rate.
Reminds me of what George Miller did in Mad Max: Fury Road last year. If he felt a part was moving too quick to be understood, he slowed down the framerate. If he felt a part was too slow or too obvious, he'd speed up the framerate.
Granted, that's not user interaction, but there are people thinking about it. It's also easier to get away with in Fury Road because there's so little dialogue, and the film is designed to be understood visually.