True,but ...As already mentioned, that's not automatically the case. Given the prevalence of plastic service pipes these days, it's quite possible for an installation to have no effective earth other than the DNO PME facility. And if this is the case, then little current would flow....
Only "live" in the sense of being (well!) above true earth potential. In the absence (such as you postulate) of any extraneous-c-ps, the building would be an equipotential zone, so the fact that 'everything was live' would not affect (or even be noticed by) anyone/anything wholly within the building. It would only be an issue for those 'with one leg in and one leg out' of the building, or touching the infamous ('earthed' outside tap etc.... but everything "earthed" would be live.
Kind Regards, John