Mini-HDMI is fine for this use though and can just move with the item so it's not like you need to buy many.

That’s what I do, the jetkvm has its “own” mini hdmi that follows it as I have moved it from different machines. Buying one cable wasn’t the end of the world (I was able to snag the jetkvm for $70 during its kickstarter and a $10 cord) and I use it constantly so it’s never collecting dust