Georgina Hunter-Jones just made a good point on Sky
These things are always precluded by the presumption that regulations weren't tight enough or something needs to be banned but all considerations need to be considered by AAIB/CAA - including things like would the option to land somewhere else be safer (e.g. a park in London - which is currently prohibited).
Nevertheless it is very unfortunate that something so tragic has happened to such an experienced pilot.