I've been commuting on my (folding) bicycle & e-bike in NYC traffic since 2013.
I've come close many times of getting hit in traffic, only once I got T-boned in the rain, low light visibility by and SUV that ran a stop sign;
killed my folding bike, but I walked away with minor bruises & sore.
40 years of cycling, 25 years of motorcycling; IME, excess speed is what gets people in trouble.
On ebikes, people who has not been cycling for decades can easily get to excess speed without knowing, similar with motorcycles.
Most American drivers have been trained for decades that bikes & motorcycles don't belong on public roads, they are just toys.
Unlike many other parts of the world that 2-wheel vehicles often outnumber cars.
There's been major mindset shift in large cities that promote less cars & more bikes.
But accidents will occur regardless of regulations; whether more regulations on ebike would save lives is difficult to tell.
AFAICS, highly dependent on location and traffic pattern.