Shutter lag is made up of several factors. The 35mm bodied D-SLRs don't suffer shutter lag because; 1) The AF motors and sensors are the same as with film cameras 2) You use the through-the-lens viewfinder for framing. You cannot use the LCD viewfinder since the shutter is closed to the world outside the camera.
The E-20 "D-SLR", and yes it is an SLR, allows the use of the LCD monitor for framing. It splits off the light to allow viewfinder framing, also. It uses a two-stop AF process, which is pretty good by consumer digicam standards, but quite slow compared to its 35mm cousins.
The E-20 has a very slow write time for some reason. If you use the LCD monitor for framing, it will slow you down big time. To see your focus, the LCD screen must continually refresh itself as you move. The image must be written before you can use the LCD screen again. That is a full 10 seconds minimum between shots. If you use the viewfinder without the LCD screen, delay times are pretty decent.
Regardless, 35mm film based D-SLRs have unnoticeable shutter lag.