It is just the rate and the age you should start getting mammograms that has changed Foss - not that you should stop.
As with all things, over time things change, after something that has been in place, and you have a chance to check data. Now that we have had mammograms for a couple of decades, scientists can see if having a mammogram every 3 years after age 40, and every year after 55 (or whatever it is, I don't remember) results in better statistics by reducing mammograms to start at age 50 and only doing them every 3 years after that.
They found that the results for women without a family history of breast cancer don't change markedly by reducing mammograms, or altering the time that you begin.
These new recommendations have been in place in Europe for a while, with no increase in rates...