Thanks for the file, dpochtrager!
I have explored your file, and it is undoubtedly an artist’s call to adjust this.
Please cache all Hair Objects, which can be done while selecting all and cache them; it will run through each.
With this, you have the dynamics, but you can move freely on the timeline. This takes some unexpected parts out of the results.
With that, I moved through the timeline and switched the Clump on and off; there was a clear difference each time.
You have eight Hair Objects but only one Hair material. So even if each Hair object produces a special part of your creation, you like to rule them all with one.
The parameters you use, e.g., 40cm for the Radius, are really large.
Please check the manual about this while reading about the Count and the “connection” to the Radius.
I would only repeat the same here:
https://help.maxon.net/c4d/2023/en-us/Default.htm#html/MHAIRMATERIAL-HAIRMATERIAL_GROUP_CLUMP.html#HAIRMATERIAL_CLUMP_RADIUS
My suggestion is to copy the C4D Hair material and use it on parts that do not work as you like. So you can fine-tune parts of it more precisely.
I hope that it will come closer to your targeted style. It seems you are close, but that is, again, your decision to make. Looks good to me, BTW.
As a side note: you might consider animating the parameters a little bit; perhaps that will support your idea better.
All the best