My KVM has 2 different key combinations used to switch between devices. Usually, I'd use double tap scroll lock but double tap num lock works as well. What I find odd is that with some keyboards, scroll lock won't work but strangely num lock does. What is stranger is that with some keyboards, pressing either key combination fast doesn't work but pressing them a bit more slowly does.
See if your KVM supports a different key combination or vary the timing (slower, not faster). Maybe it might help.