An ordinary borrower has a number of ways they can get in to trouble - like losing their job and so being unable to repay a loan. The government avoids all that because government writes the law and it controls the creation of currency so it can always choose to technically not have a problem.
These changes make it almost meaningless to assess a government's debt in norminal terms (eg, 'the debt is $x trillion!' isn't actually a concern, because the government as a body can simply create $x trillion if it wants. Wish I could do that :P).
So we have to look at the governments debt in real terms, at which point we need a completely different model than a small time player, who is mostly concerned with by nominal issues. Then you run in to the issue that in real terms, nobody agrees on anything - which is why the economy is run with a nominal currency system. But there are people, like me, who think in real terms the US of today is a completely different beast from the US of the 1970s. There are massive demographic and political differences.
it sounds like you're saying that the debt load vs GDP is important, but the relationship in nominal terms doesn't say much. is that an accurate reading?
In this context, I believe debt load to GDP for the US after WWII, and that didn't cause a problem. The concern is that the US has a debt load consistent with a world war and conditions that are really quite favorable. So the obvious questions are "at what point does this get paid back?" and "in like-for-like real terms, assuming politicians are cynical and greedy, is there any reason to believe this debt will be honored?".