Perhaps. I can't say anything about how missing children were or weren't reported. I do agree that the way in which the information is put on TV, social media, etc. has had a major influence on people's perceptions of how safe the world is or isn't. Just based on facts, violent crime is down compared to the 80s and 90s. Violent crime peaked around 91 and as of 2014, violent crime was at it's lowest rates since 1970.
I heard an interesting study talked about a few years ago. In the 80s, a group of researchers went to a town to study how kids play when adults aren't around. They did all kinds of things like map where the kids went, what times they were out, how often they were not in the presence of any adults, etc. Then they came back to the same town about 25 years later to study the next generation of kids. They discovered that when kids went out, they traveled a much much smaller radius, they were gone for much shorter periods of time and it was much less common for them to be out without an adult around. All of this despite violent crime and crime in general in the area being considerably lower than it was when they were originally there. These kids who were allowed all that freedom, grew up into much more protective parents. There are several potential conclusions to draw here: the increased media presence creates a sense of fear, kids have more things to do at home now, parents are more responsible than past generations, etc. I find it an interesting phenomenon though.