I cannot find any studies that show a 40% relative reduction in breast cancer deaths for those who undergo regular mammography.  Most studies, including meta-analyses show a relative reduction of <20% and we must remember that relative ratios always make the benefit look much greater than it is.  

The actual reduction in breast cancer deaths through screening appears to be about 1 in 2000 patients over 11 years and usually no decline in all cause mortality.  

The article rather shows the malign effects of those who would profit from more screening.  

This is not to say that I would suggest no screening but it should be selective based on family history and other factors.  Appropriate rather than excessive screening would likely reduce both costs and harms.