I'm not sure what Lorric is thinking, but my perspective is that even if the expansion of the universe is sufficient that parts of it could outrun a VME bubble, that expansion itself is going to eventually make all life as we understand it in the universe impossible anyway either via a Big Rip or Heat Death depending on how exactly various cosmological constants (are they really constant?) turn out.
Either way, this universe does not appear to be built to last indefinitely. That is troubling on a fundamental level. It means that everything ever accomplished by any life anywhere in the universe will eventually reach a point beyond which there can be no memory, nor even evidence that it even occurred. It will be like it all never happened.
I suppose either of those outcomes are better than a VME, though, in that they are in the distant cosmological future. A VME could have already occurred, and we wouldn't even know it is rushing in to wipe us out.
Also, I skimmed through the article I believe you referenced earlier. (Gravitational effects on and of vacuum decay, Coleman and De Luccia?) The math goes way over my head, but if I'm understanding the paper correctly, they did analyze the case where we are living in a "post-apocalyptic" universe in which a decay from false vacuum already occurred. They don't really talk about that one as much as they do the one where we currently living in a false vacuum, and their talk on it towards the end is so brief I'm not taking away much. But what I do see is that, in that case, the universe inside the bubble is not subject to unstable gravitational collapse like the one in which we're currently in a pre-apocalyptic false vacuum. So, I'm not seeing anything just yet that states categorically that we cannot be living inside a universe that has already gone through a VME.
But I'm very much just an interested layman researching for fun in his spare (HA!) time. I'd be interested in everyone else's thoughts.