Republicans would be as avid to keep it quiet as the Clintons probably are. Republicans have historically been as determined to cover up Democrat scandals as any Democrat.
I seem to remember a certain big-mouthed intern that Republicans pursued relentlessly some time ago, much to their detriment. The mushy middle doesn't want to have to think about scandals that try to get in their faces, but if we create a general sense of unease in the people who decide who to vote for in the weekend before the election, we can win.