If we did that, CERN could not publish, because nobody else has the capabilities they do. Do we really want to punish CERN (which has a good track record of scientific integrity) because their work can't be reproduced? I think the model in many of these cases is that the lab publishing has to allow some number of postdocs or competitor labs to come to their lab and work on reproducing it in-house with the same reagents (biological experiments are remarkably fragile).