That august body can tell us that after a lapse of time four times longer than our civilisation has notched up to date that their nuclear waste disposal arrangements will be at their most dangerous - but of course still well within safety limits. These people are frauds; the 'safe' limits of radioactive emission are guesstimates that owe more to what the nuclear industry can work to than to any real knowledge of long term radiation hazards. 'Safe limits' have been lowered progressively over the four decades of our experience of radio-isotopes outside the laboratory. What four thousand decades of experience will reveal we cannot even guess but future people, the defenceless unborn to the umpteenth generation, may find out right enough but they will not have been asked whether they would accept whatever risk there may be. Not only is there no real knowledge of radiation hazards but there is no real knowledge of the long term properties of the materials that may be used to build the waste containing structures and there is even less knowledge of the seismic and climatic history of the, to us, far future. The stores may be exposed or burst open in, say, the year 21989.
The thing that NIREX is pretty sure of, for it has the best advice on the point, is that isolated, job-vulnerable communities might just happen to be in places that are suitable for nuclear waste disposal.
Of course, our descendants, unlike us, may not all be 'civilised'; at some stage they may think the various defunct reactors sealed up on the surface are meant to be plundered like latter day tombs. The radiation may, for such are the mysterious ways of the universe, mutate them into a wiser and less presumptuous species - Humankind Mk2. Perhaps the nuclear industry is all for the best - spent reactors waste and all?