Please consider two processes:

Process 1 - I simulate random sequential adsorption of discs on the unit square in the continuum limit, randomly selecting real number coordinates and rejecting the point if placing a disc at this point leads to any disc-disc overlaps. I continue this process until I reach a disc surface density of $P$.

Process 2 - I perform process 1 until I reach a disc surface density $Q > P$. I then randomly select and prune discs from the surface until the disc surface density is $P$.

Provided a sufficiently large number of discs to achieve a surface density of $P$ and/or a sufficient gap between $P$ and $Q$, is it possible to detect when Process 2 has occurred? More specifically, say I present you with a simulation result and ask you to tell me if Process 2 occurred. To what extent, if any, is it possible for you to discern this?