With conservatives—or rather, the people lacking morality and empathy who flock to the ideology—it's always projection. They can't imagine having the integrity to not do what they would do when given the opportunity so they cry foul.
In their zero-sum way of thinking, it sets them up to be ahead of the scandal. They use it as "proof" to justify their DARVO statements and whataboutisms. Morality be damned, as long as the other side takes a bigger hit, they still feel like they win.