I've never judged or even attended a competition, but do you think things like haze affect the later elements of judging? Will a judge be influenced into thinking there is something wrong because there is a haze issue?
Maybe - but most advanced judges I know encourage judges not to do that. And again, it depends on style. Haze in ales is fairly common. Haze in lagers not so much.
For ales, maybe its more the opposite - some haze leaves me with no expectations for flavor. Could be good, could be bad - it just doesn't tell me anything. But a crystal clear pale ale leaves me thinking the brewer did something really well. Still if the beer doesn't hold up to that expectation I'm not giving out bonus points.
Now if it pours out like chunky soup, that may be hard to ignore.
However, if your beer makes it to Best of Show, haze could be what prevents it from winning. There it's competing against many other awesome beers and it's often small aspects of character that separate the winners.