Two things here everyone should note. One is that we are talking about Liability Insurance which means you must be liable. I don't know who the folks are or who the Homeowners carrier is but they are not simply going to pay a huge claim without defending the guilt or innocence of their client, who happens to be a flyer. They start out by defending their client and that's what we pay them for. This is not Medical Insurance where things are paid automatically, this is legal liability. The Homeowners carrier is obligated to defend their client.
It would be rather dumb for someone to run right out and say, "hey guys, I'm guilty of negligence." The AMA insurance and the Homeowners Insurance is legal liability.
The injured party must first prove you were negligent. You wouldn't be very smart if you had an automobile accident and confessed to everyone that you were at fault, would you?
The second thing that should be noted is that most Homeowners Insurance Companies will sell you an Umbrella Policy. This gives you liability coverage over and above what you have with your Homeowners basic limits. Everyone who owns a home should have coverage far and above the basic limits, especially RC flyers, in the form of an Umbrella.

3dbob