Kind of a tossup on whether to excavate more before the next eruption or wait and let future archaeologists use (improved?) methods that better preserve the treasures.
The rest should be left for later. Some have worried that the volcano will have a serious eruption again and rebury everything, so let's quick dig. And the Villa of the Papyri in Herculaneum is speculated to have a second, lower storey -- AFAIK based on absolutely nothing. Their dream is that there's an identical library under the first one with another box of scrolls. The story of the wasteful destructive "study" of the scrolls should be enough to convince most that the buried Roman towns should be left there for a long while yet.