There were no remains to be buried. The site was completely buried by meters and meters of material. Even the location of the city was quickly lost. The only evidence of an ancient presence at the site in the aftermath of the eruption is from looting tunnels. Even if they had dug the city out of its ash and pumice tomb, they would not have found any corpses--they all burned up in the very intense temperatures of the pyroclastic flows. The famous plaster casts are not corpses, but instead the voids which the corpses left behind in the loose-packed fill, which have been filled with plaster by observant archaeologists.

As for survivors: there surely were some who fled before the end, but it is not possible for survivors to emerge from the rubble of a pyroclastic flow. If you meet a flow face to face, you are dead. I wrote a bit about the aftermath of the eruption here.