The Klemheist is an easy to tie friction hitch but it has a tendency to jam sometimes. Do you also have this experience with the Klemheist knot? Let me know!
I use the Klemheist as a backup knot when rappelling with a figure 8 device. And also when climbing with the secure footlock because it advances smoothly. I personally don't use the prusik very often because I find it more difficult to advance the hitch up the line. But you can use it in your lanyard.
Yup, it also depends on the combination of the prusik cord and climbing line. Stiff prusik cord tends to grab less then a more flexible one. When I want a friction hitch that grabs less and breaks more easily, I usually tend to a more complex friction hitch like a distel or vt