Was that from the same guitar as example 1? The high pitch sounds the same from 1 to 2. Next step is to try a different cable with a different pair of headphones in a different location (like a friend's house a block away, etc). Then, if the sound is still there, you may have to contact support. I hope it is something simple.
Yes, it's the same guitar. A hollowbody with P90.
But I just recorded a sample with my Telecaster custom, too. Middle position with single coil and humbucker: Telecaster Sound Clip.
I already tried a different cable and different headphones (you can hear it on the speaker too so it can't just be on the headphones anyway. You also wouldn't be able to hear it in the clips I recorded if you weren't using the same broken headphones.)
Don't think contacting Kemper support helps since it's "some" of my guitars that produce that sound, maybe the house. I had just hoped that Kemper had an option to cut out that frequency since the profiler is generally really good with suppressing noise.