If you read Rush's "apology," even it is filled with arrogance. He didn't apologize for calling her a slut & prostitute because it was the wrong thing to do, he said he tried to use humor and just used the "wrong choice of words" and "lowered himself to the Left's level." So apparently he still believes she's a slut & whore, but he didn't mean to actually say so. And I guaran-damn-tee you that he wouldn't be apologizing at all if advertisers hadn't started leaving in droves. It would have been more sincere had he said, "Look, I made some comments which were inappropriate and wrong. Speculating about someone's sex life because they use contraception is just wrong, and I was totally wrong when I accused her of being a prostitute. In my zeal to demonize anyone supporting the contraception policy I got carried away and said terribly derogatory things about someone who was just trying to explain her views to Congress. I'm terribly sorry and won't let it happen again." And would have been totally sincere had he said it before advertisers started pulling out.
Christian apologetics is the art of rolling a dog turd in sugar and selling it as a donut.