Sorry, a 25kmph electric go kart ("e-scooter") with a roof (!) is not a bicycle and is not the right vehicle for a cycle lane.
Sensible transport segregates vehicles by their performance characteristics. In order to travel in the cycle lane you need to be going at bicycle-level top speeds with bicycle-level acceleration. More or less. E-scooters have a much higher top speed than most normal cyclists actually accomplish in the real world and, much worse, have far steeper acceleration curves. If there were lots of vehicles of the kind you imagine in cycle lanes they would be going much faster than real cyclists actually do and consequently overtaking constantly.
This doesn't really happen much in practice for a couple of reasons. Firstly, e-scooter's wheels are too small and their wheelbases too short to comfortably travel in the cycle lane (or on the road) so they travel on the pavement and drive pedestrians barking mad. Secondly, partly because they are made of chocolate and partly for inherent design reasons, they don't last long (shortish MTBF, near infinite MTTR) - this does a lot to keep them off the roads - except when operated at a loss by venture-backed startups from California.
And your idea that if people weren't on e-scooters that they would be in cars or something - not really. In my area they would be on public transport.