I don't think I agree with your point of view on this, if only because it sounds like it sweeps across time and continents and describes a single facet of a multifaceted subject. There are significant differences depending on where in the world you are, what predator / prey you are talking about, and whether it is present or past that you are looking at.
As a different point of view, you might find this an interesting watch.
and 13:30 of this one.
In the US, predatory cougar attacks have increased from almost nothing. Sure, there are more people in cougar country, but there are also more cougars than there were for quite a long time, and there are Fish and Wildlife agencies that manage the number of deer, hunters do not shoot them all out, and cougars are likely to be less fearful of people because they are protected.