Largely nonsense.
1) risk of breast cancer for average woman 1 in 12; risk of mammogram causing breast cancer 1 in 70,000
2) compression is part of how image contrast is generated. Tomosynthesis (like CT of the breast) was around in 1990 and doctors spent 20 years to realize compression is still necessary even with “slices” through the breast. It wasn’t FDA approved until 2011 because everyone was trying to avoid compression.