No worries, Mikel007. I would have a lot of trouble writing in another language after 30 years so I can understand how difficult it is to get all of the details right. Still, you described exactly what was going on in your scene; it seemed like an unusual issue so I was unsure that I had read things correctly.
What I see in your file is that the Child hairs for each model all appear at the same distance from their parent guide hair. So even though the smallest mesh is 0.1 units across, the child hairs it creates still appear up to 0.1 units from the guide hair created by the HairNet script. You can change this setting in an object’s Particle Settings -> Children tab (I don’t know what it is called in German…)
I attached an image of the results I got by changing the Children -> Radius property. Let me know if you want the modified blend file.