In this example, the empirical facts are "hundreds of incidents where four or more people are injured" and "no incidents where twenty or more people are killed"

In this example, the empirical facts are "hundreds of incidents where four or more people are injured" and "no incidents where twenty or more people are killed". Those facts still exist. The different definitions of "mass shooting" are spin, which obscures facts, but does not eliminate them. Yes, it is hard to pierce the spin to find the facts, but the facts are there somewhere.