He could prove reasonable doubt that his chances were as good as if Paula had not stepped beyond the bounds of her judgeship to groom a competitor candidate for one of a limited number of spots...I think it doesn't matter that Corey was ultimately thrown off the show, or if we don't personally believe one the rejects would have gone far had he not taken "their" place; Corey's presence until his DQ meant the elimination of someone else.
Paula sucks as a judge, but I truly think it's because she gave specific insider knowledge of how to "work" the competition to a certain candidate that Paula should "retire."
I was prepared to completely dismiss this until I saw the story. After I took several showers, I realized I was convinced and felt this way about Paula's stepping down as a judge. Surprised me, too.