I really don't like to compare them because they're VERY different types of characters (both in the comics and in the shows) and said shows are trying to do VERY different things. Honestly, comparing Batman to DD would be a bit more accurate (although still not exactly the same). This show is what the Nolan films (which I love overall) would have been if they'd had more time to develop/flesh EVERYTHING out, as opposed to having to concentrate on certain things due to time constraints.
This show really helps sell the idea of this format/why it is the best option for some characters. Some characters, like DD, just work better with longer-term, more gradual storytelling.