Quote by pervect
...For a small system, where you can neglect the gravitational selfenergy as a further source of gravity, you can say that the total volume intergal of the pressure cancels out, and the integral of rho+3P is just equal to the integral of rho as the later term is zero...

This bit I had initially forgotten re my 'pufff of air' thing, but recall now from Elers et al paper
http://arxiv.org/abs/grqc/0505040 cited in #11. Yes, external to shell, complete cancellation of internal gas and shell hoop stress contributions applies. My only interest though was in how insignificant the effect of pressure on given arrangement is, and whether or not external cancellation is considered is effectively moot imo.