Not at all no. This used to be a sort of self regulating system. Peoples ability to go fast with muscles alone usually goes away around the same point where their cognitive abilities become a hazard to the rest of traffic. The difference is that most young people could easily go 18mph or more while old people wouldnt even get past 10 without e-bikes. Basically e-bikes allow people to go beyond their limits. While that sounds cool, in this case it isnt.

The thing with pedelecs and 25km/h is complicated™

• we distinguish e-bikes and pedelecs
  • self-driving electric bike
  • bike with electric pedal assist
• motorized bikes are already a thing for a century
  • motorbikes… (driving license; 16 years+; real number plate; but 20 years+ for >45km/h)
  • moped has 45km/h limit and a kickstart pedal (driving license; 15 years+; insurance plate)
  • mofa has 25km/h limit and (can have) real bike pedals (driving test; 15 years+; insurance plate)
• every motorized vehicle that can do more than 20km/h and doesn’t have a seat belt, mandates helmets
• bike paths are only for bikes
  • outside of built-up area mofas were already allowed to use bike paths
• at least one state banned motorized vehicles from forests

It probably was always possible to drive them as moped/mofa, don’t think it was specified what kind of motor.

Pedal assist doesn’t just stop at 25km/h, it also decreases with higher speeds.

But the point is that pedelecs effectively count as bike and not motorized vehicles. That means somebody younger than 15 can drive them, but you have to be at least 10 to be allowed to drive on streets/roads. Helmets are only mandatory for <12 years old kids on bikes.