Bodhbh
Guru
This one is my guess. Using your hand to feel the joins (top and bottom of head tube and around the sliders for the suspension) when you are rocking it will confirm exactly where the movement is originating. Many, if not most, front suspension units will have some play in them.
Ah sorry I should have made it clear, the Kona P2s are rigid forks.
A handy trick is to turn the front wheel 90 degrees and do the same rocking test. If the movement is just play in the brakes then this tends to reduce it significantly. Play in the hub can be diagnosed quickly by waggling the wheel in the forks.
I had a problem once with a headset that I couldn't get adjusted. It turned out that the lower headset cup was moving in the frame, just a tiny bit. Not sure if the frame was damaged, or whether the cup was fractionally too small. A splash of stud locking compound (like a thread lock, but stronger and more permanent) and it's running fine to this day.
This is all good stuff. It's not like there's much going on there, just need to think laterally on what could be causing it. Just got up so not tried replacing the starnut, which will at least rule that in/out, as will the 90degree trick on the brakes.