I just completed an orbital slingshot around the Mun to leave the Kerbin SOI. I exit map view upon warping out of Kerbin SOI and EEK! What's that?!?!?!
It's the KSC! In space! https://imgur.com/a/2CVZ9zI
You can see I'm quite far from Kerbin, in orbit over Kerbol, so the KSC should clearly not be rendering.
It seems to have matched my orbital speed. It doesn't move relative to me. When I burn, I accelerate relative to it. If I crash into it, I collide, my craft explodes, and the flight ends.