It beats being lazy in a car and I'm very thankful that the infrastructure here in NL supports it.
I ride much slower on mixed use paths or around pedestrians, me hitting someone at 32km/h is going to hurt both of us potentially badly.
This makes no sense. You can pedal an electric bike at least as fast if not faster than a regular bike.
Some e-bikes are speed limited to cut out the assist at a certain speed, but it doesn't mean it also removes your ability to pedal hard and achieve the same speed.
Most Dutch cycle at about 25km/hour (whether or not electric) - those cyclists that easily do 30 on normal city bikes are probably the last generation that will switch to e-bikes.
There are many different types of e-bikes, and you're probably thinking of what are effective electric mopeds, with big batteries and engines and a throttle control. Those certainly go very fast. They're also not legal in many places, including here in NYC, and aren't necessarily what people mean when they're talking about e-bikes; that's usually referring to pedal-assist.
Proper road racing enthusiasts can average 35km/h including stops (the joys of a flat country).
You're underestimating some of the speeds involved though. People will bike at speeds that feel safe to them. There's bike lanes there that are long, straight, and that have people going much faster on them than anyone can run. Amsterdam is full of life-long cyclists; some of them go pretty fast when it's safe to do so. It was quite impressive seeing some of the people on the city-style bikes hauling ass, especially when they didn't look like you'd expect them to. I do that here in NYC too; no sense in making my commute take any longer than necessary. Although I'm generally on a road bike when doing so, not a city bike!