It can hurt. And it can put you out of business. Businesses are measured not by what actually happens during a time of crisis, but by public and other perceptions of what happened. Unless you are there in person and can see for yourself, count on the first information you get about your operation's crisis being almost always wrong. So double-check everything.
People are people.
They get excited, and report what they think they heard. They shamelessly and quickly speak inaccurate information. What this means is that it's a whole lot easier to deal with the media aspects of a crisis if the origin of the crisis is beyond your control, such as a flood, or tornado. But if your park or campground s procedures are weak, and it leads to people getting hurt, sick or killed, it's a different matter. The public can't forgive you until you say you're sorry.