That doesnt sound like what I would call "paperless"

...
Again, what does your
FMEA say? If your Recieving and shipping processes are so fool-proof as to not need running controls they may not need to be in the CP.
Are recieving and shipping potential sources of non-conformity?
I think youre missing the point here. The hierarchy is Process flow / CP / WI. The PF details stages of the process, the CP shows you where and what to test and the WI how.
...Whether your production needs this on a product or process basis only you can tell.
Hope this helps.
Andrew