Like most everyone here that has both, I use the electric saw for small jobs, quick limbing jobs, clearing a tree that fell across the driveway. I get out the Stihl if I am
cutting firewood. Electric saws simply can't do the same work a gas powered saw can do.
One thing I haven't seen mentioned, although it has been kind of alluded to. I find my electric saw much more dangerous because it isn't a loud, noisy, "scary" piece of machinery. It makes a quiet little whirring noise that makes it very easy to forget that you are using a piece of equipment that can easily remove a limb (from you as well as a tree). I think people that haven't tried both may downplay how important this is. I don't even know how to explain it well. I just find it very easy to forget the thing in my hand is a chainsaw, not a toy, when using an electric saw.