VBB, for someone with such an unfortunate name you don't half talk a lot of sense!
BN, you ask "So, the question is, do we want more archaeology done, or do we want the hole filled up?"
That's exactly the issue they are confronting, see here (Section 6).....
http://66.102.11.104/search?q=cache:8WbaStAJvg8J:accessibility.english-heritage.org.uk/Filestore/about-us/pdf/ehac/ehac_minutes_sep2003.pdf+english+heritage+commission+silbury&hl=en&ie=UTF-8
You'll see they are starting from the unqualified premise that the hill is basically stable. But I don't see how anyone could really have told them that there's no risk here and I'd rather like to see it in black and white, and in context and in full. If they've received such assurances they have nothing to fear from releasing the report but until then I'm disinclined to believe that a structure that contains unsupported horizontal chalk/clay tunnels is "basically stable" especially whilst they don't deign to share what they mean by their only other bit of information "but in need of attention" and "more investigation needed".
One more thing from that link made my blood run cold, I don't know what you think VBB: "Dr Bell suggested that the hydrological element of the hill be investigated." That means water, the number one danger. And they don't yet know about it.