The world cannot be blown up because of a car accident. Perhaps someone says that a very small probability could exist due to the butterfly effect or similar theories — but it should be clear that the probability is much smaller than in the case of dealing with new sub-nuclear physics experiments. Thus, various risks have different worst case scenarios.
Experiments with an apocalyptic worst case scenario should have mathematical risk calculations (quantitative and qualitative) for the entire risk and for each discussed risk and model. A catastrophic risk analysis should be based on the standards of catastrophic risk research. The level of standards and the extent of the safety assessment should be in direct proportion to the worst case damage factor, especially if theories of risks could change. All these requirements are obviously not fulfilled in the LSAG safety report.
There are some mathematical calculations regarding the risks in the references or in references of references of the LSAG report but there is an absolute lack of it in the report itself.

Various physics theories do contradict each other. Sometimes truth changes to the untruth and untruth may change to something true again. Examples are Hawking radiation or the speed of light.
Reality was not as previously expected in different cases. Some examples are the “RHIC fireball” (energies higher than expected), dangerous radiation at the LHC (more than expected), neutrinos (faster than expected).
The LSAG safety report of CERN is mostly based on the (for various reasons) flawed cr-argument and on Einstein‘s theory of relativity. Regarding the catastrophic risk of micro black holes, one of the main safety arguments was Hawking radiation. But opinions have been changed and therefore HR is not anymore on the public safety page of CERN.

The safety assessment should be continuous, openly and all views and scientists with (to some extent) reasonable arguments should be taken into account because of possible theory changes.

Many arguments, papers and lists with numerous risks have been sent to CERN but only a few have been answered – often just in private messages by a single scientist. That should be changed. I repeat that the LSAG safety report of CERN seems to me like partly a defensive selection of denied risks, rather than a complete assessment of (re)searched risks and possibilities. It seems that some risks have even not been considered yet. The critics are able to provide CERN with a list of arguments or publications, perhaps not yet (or not properly) considered risk theories and scientific contacts.

Thanks for reading.

Thanks for bringing up the third category, I was only looking at those who wanted to halt operations at the LHC but in terms of those who support a safety conference there are three groups. I fall into the third group and support a safety conference as a matter of as a matter of due diligence and I think that such a conference could be held as the experiments continue.

In terms of having CERN participate in a new safety conference I think the biggest impediment thus far is the fact that the most vocal people calling for a safety conference have tried to get the LHC shut down, to include taking court actions against CERN. CERN isn’t going to want to go out of their way to accommodate people who are trying to shut their largest operation down.