Regarding "distracted driving" causing cyclist fatalities, my point was more that bicyclists have a higher risk rate. If we're already going down this path for safety, banning bicycling would have a higher impact than reducing fatalities ~10% which is what the EU claimed it could prevent.
Regarding the claim that "pretty much all fatalities on bikes are the result of being killed by drivers", that's simply not true. It also largely depends on laws and location.
For exemple, pedestrian killed by motorist are too often not counted as a motorist issue, but a pedestrian at the wrong place issue.