You could make the case that it's video games as much or more than movies that influence these kooks.
Just look at the 1960s tongue & cheek Batman series compared to the stream of Batman films that have come out in recent years. Look at the Joker for example. Cesar Romero played the Joker in the 1960s.
Well, as you say, it was a tongue-in-cheek version made for the family television audience, so there wasn't an opportunity for graphic violence.
I watched a documentary about exploitation film director Roger Corman recently. He's been doing some very gory and grisly stuff for almost 60 years now, without it having much effect, so far as I know.
To be sure, though, Roger Corman's movies were so low budget and cheesy and the effects were so obvious that few self-respecting nuts would want to imitate them.