This is interesting. Although I now live in the US, I'd never really considered that the ski patrol might charge for rescue outside the area.
I kind of have mixed views on this, as in the UK, ski patrol services within the boundary are free. If you were to have an accident outside the boundary, you could well be rescued by the Mountain Rescue Team (who are volunteers), or the RAF or Royal Navy Search and Rescue, or possibly even the Coastguard. The ski patrol would often assist. All of which would involve the use of teams of people, dogs, and quite possibly helicopters. There is no charge made for such rescues, and there is also no requirement to have any insurance. Whilst donations to the mountain rescue are often made, it is in no way compulsory. No one would be left to die because they couldn't pay for rescue. Could that actually happen in the US? If so, what's the answer - compulsory insurance or something? I guess I assumed such things would be covered by medical cover.
Incidentally, when you ski over here, do you ski with your medical insurance card in your pocket? It's not something I've ever really thought about, but maybe I should.
I don't know as anyone would be left to die - but your lift ticket has a contract on the back, and you assume the risk of your actions (meaning you have responsibility and pay for the consequences of said actions). The rules and boundary information are posted prominently at every ski area I've ever been to. "Ducking the rope" is not an action that only occurs on the slopes - if you duck a rope at, say, the movie theatre, you've done something you're not supposed to do. That is the standard assumption for the action - it's not ok. The lift ticket/contract says if you break the rules and we have to bail your sorry behind out, you pay. When you buy the ticket, you become a party to that contract and you are bound by it, so you need to be able to pay up if (heaven forbid) that should become necessary. If you can't pay, you can't play.
In all the training we've done for outdoorsmanship in Scouts it's been hammered into us, over and over and over, that we cannot go into the wilderness unprepared. Our lives are at risk in the wilderness - some time spent in basic preparation and training has saved and will continue to save lives. For backcountry skiing, this means all kinds of things - avalanche/beacon training, first aid, navigation & orienteering, cold weather survival - there's a lot to think about, and that's just a few.
I think the increased availability of "extreme sports" video footage gives some people the idea that you can just head out to the nearest snow-covered cliff and go for it. The videos rarely (if ever) show the team looking for avalanche likelihood, making sure the first aid kit is packed, and so on. It seems that some folks think that the backcountry is just like the ski resort except you have to do some hiking to get to the gnarly runs - maybe because that's what they see on the YouTube videos. They basically are refusing to think the whole thing through. That's how the 2003 Cedar fire started in San Diego County - a hunter went out for deer COMPLETELY unprepared (literally, all he had with him was his firearm, ammo, cigarettes/matches and a cell phone with a low battery). He got lost, and because he didn't have a signal mirror he started a signal fire.....nearly 300,000 acres and 2500 homes went up in flames, and people died. THAT level of stupidity should be, and was, rewarded with jail time.
And whether one's dumb-a$$ moves would be covered by insurance is a very big question. If you have knowingly violated the rules of a particular ski area, and that information gets passed to your insurance company (if you have insurance) you may not be covered; it depends on your particular policy.
I ski with my insurance card on me - if, God forbid, anything happened the medical personnel would eventually find it, and it would make the whole process way, way easier if they can bill the insurance company directly.
Ultimately, the only way to keep the insane litigation and excessive rules off the slopes is for each person to take responsibility for themselves. It sounds so easy, typing it out like that! So when you have what my high school principal called "spoilers" who don't want to be responsible, everyone gets the shaft.