What you are saying is so true. In so many competitive countries if a child exhibits extraordinary talent, or has the right body type, the country steps in and pays for all of the training. At international events you will rarely see the parents of these kids, as they simply cannot fund the trip to watch them compete.
In the United States, however, You do not receive funding until you can be put into a team envelope, which, even making Team A only provides a very small amount of funding, comparative to the extraordinary expense. Skaters generally start off in a lesser envelope, and work themselves up. I am not sure exactly what the tiers amount to this year, but despite I am sure gratefulness for any dollars coming their way, no way, shape, or form can it offset the enormous expenses. Oftentimes kids move (with a non-working parent) or move alone to train with the best coaches in their discipline. And, as was stated before, you must be seriously training by the time you are 8 or so, or forget it. The expenses keep coming for years.
I do believe the Memorial fund steps in, however, to assure an extraordinary talent will not sacrifice training due to their economic circumstance. But this is where it gets super tricky. Very few families can absorb the type of expenses incurred pursuing this sport with ease. That is why many skaters have to choose between college and skating, or go to a lesser, cheaper school. Who can afford both? I have heard about families forgoing home ownership, savings, necessary expenses, to pay the huge bills the sport requires, all in the hopes of their kid "making it." The trouble is "making it" no longer produces any kind of payoff, unless you are an Asian skater, as their countries have a very strong fan base, and people willing to even travel to events to watch their favorites.
In any event, to reply to the original title of this thread, the skaters do not end up in debt, as a 13 yr old cannot get a bank loan to finance their career, it is the parents who end up in debt, or at the very least depleting their assets in so many ways and levels. I almost wish we had a system more like some other countries, where only the most talented are fully funded, though even that is different now too (like in Russia). It is exclusive, but then parents are not led down a primrose path of believing their child is so talented that it is okay to risk their education, or their families finances to achieve success, only to find out there is no pot of gold at the end. I think the last skater in the US to achieve that was Michelle Kwan, and even she then went on to a very rigorous education, and her current accomplishments are as impressive as her impressive skating career.