The trend you're describing is the result of a disconnect between the generation of regular players and those before. Anyone born after the Vietnam War could be considered in this group meaning anyone between the ages of 3 and 55 if we're being nice. Those in their 40s and 50s saw the arcade boom and home computing take off ... If you're born in the 80s or 90s you likely never not had a computer at home or later into 2000 probably never not had Internet just like we were used to having a phone (but not necessarily a cordless that was too much complications lol).
An interesting trend along this line is the ability for people to adapt to ever changing technology. Starting with gen X, a much larger swath of America was able to change the consumer model of American Home Buying, which though it remains on many Stock Echanges, has been replaced consumer-wise (from Wifey at home ordering a toaster to just about everyone paying some amount of money to a tech vendor).
So, as you can see, these indications from "old people" to blame an art and entertainment form for criminal behavior is due to an impassible mentality and only the most committed person could ignore this flaw within themselves and come to a logical conclusion.
Political science tells us that a "good" politician would learn what their base is and get behind policy that rewards them (at least enough to keep them in office.) So, yes unfortunately, older politicians will naturally take the popular opinion of their base (older voters) and push for that narrative.
Tangentially, it should be noted that video games are a form of entertainment that can have health consequence if not enjoyed responsibly, however what constituents this is highly debatable.