To some degree for sure. But, for example, I'm currently watching the animated "Batman: the Brave and the Bold" and loving it. It's clearly not how Batman was done when I was a kid (the 1960s Batman television show). It's actually better, a great blend of drama and lightheartedness.
Some of the appeal is the lightheartedness which plays to "when I was a kid". But some of it is just the style, the lightheartedness, which is hardly owned by one generation. It's just not a style that is commonly done with Batman anymore. That it's clearly designed to appeal to children while still having quality and not being utterly condescending is also a big bonus.