Firstly I don't use Bridge - I just double click on my NEF (Nikon raw) file and it opens in ACR. However, I have just opened Bridge, took a file into ACR, clicked auto (at the top next to edit) then clicked done and I only end up with my processed raw image in Bridge, not a before and after as you seem to have. So I then duplicated a NEF file, took the copy into ACR, processed it, clicked done and I end up with two different images in Bridge, one appears as my original raw the other as I've processed. So I can't seem to duplicate the effect you are talking about. I don't usually process a copy as if I want to revert to the original raw it is easy to do so.

A lot of people recommend using that auto button to start their raw processing. You can still tweak any of the sliders after. That may give a similar edit to the jpeg you see on your LCD but I'm not sure.