If you are shooting in RAW and post processing with Lightroom or Camera RAW, all you are getting is an exposure adjustment - -0.7 stops in the case of ADL High.
I process in Nikon Capture NX2. I don't want the camera changing exposure - I can manage exposure manually with exposure comp. But I do use ADL Low 25% of the time so I retain the ability to change ADL in post processing. ADL Low makes no exposure adjustment.
If I used Lightroom, I might avoid ADL completely. There is some value in using ADL Low since it maintains an editing capability for the future and does not impact exposure.
It's worth noting that the image you see in the camera's LCD is a small embedded JPEG - so color, blinkies, etc reflects any camera settings. Rendering that image in Lightroom will be similar - but would not reflect any ADL settings, Picture Control, etc.
Try a test - it's really pretty easy and will quickly show you the impact. I tested to measure the difference in exposure and to see the extent to which I could create a similar effect in post. I've also subsequently seen documentation (sorry - can't find a link) that confirms the amount of exposure adjustment with ADL.
And for the record - ADL is a little different than D-Lighting and Shadow recovery. Most of the difference is in the exposure adjustment which is only in ADL, but the curves are different as well.