This was true of the old .55 grain M16 rounds.
The current rounds are good past 500 meters.
And, it never applied to bolt-action varmint rifles.
There are many factors to consider, rate of barrel twist, weight of bullet, and so on.
I may be wrong but most of these murders seem to me to have been within 300 meters.
That's an easy shot with a .223 (5.56mm NATO)