I thought the same thing at first, but observe the following. The Provari top cap is not like a nut. A nut is threaded through, the top cap is not. Imagine a piece of tubing that was threaded on the inside about 1/4" deep. You could get a screw to go inside about a 1/4", but no further. The threads will interfere and make it stop. That's what is happening with the P3 and K4.
I measured the overall depth of the Provari top cap and the overall length of the threaded boss on the K4 adapter. There is clearance for the overall dimensions of about .008". The end of the adapter will not hit the bottom of the provari top cap. The threads appear to be the limiting factor here since the adapter is short enough to fit inside the top cap. Also, it can't be the floating pin bottoming out because I took the 510 out of the adapter and it still stops. The only thing stopping it from going down flush is the threads. Nothing else is in the way.
I inspected the parts with a dial caliper, drew them, assembled them and have a picture below to illustrate the issue. A picture should clear it up and this represents the actual parts. Notice the clearance at the bottom is greater than the gap. There is room for it to move down, but it doesn't. The K4's 510 pin is not installed, so nothing is touching the P3's contact pin, therefore I didn't draw it because it isn't important here. I hope you understand what I'm saying and illustrating.