It's a garbage economic theory - strictly to justify greater spending from our politicians. In time it will be proven out to be a failure of human thinking - it is a siren call.
Your comment is likely in bad faith.
Thinking about debt like a credit card isn't reductive, it's just plain wrong.
But at the end of the day it's all compounding interest. And there's so much of it in both volume and diversity and inter-connected requirements that nobody can accurately predict the behavior of the system in response to large changes or over large timelines. And then of course the government controls the currency (but what it can do is limited to some degree) so that adds even further complexity.
A credit card or any other "normal" debt is a fine starting point for understanding.
I greatly look forward to your explanation of how it's "just plain wrong"
Another part is to think about how money is created.
Another component would be to study what happened the only time the US paid off its debt.
I will add to your comment that printing more money by the government makes the people less wealthy in terms of true wealth. It is not a solution to get you out of the woes of heavy debt load as you pitched.
That said it sounds like you are a proponent of MMT - instead of one off pithy remarks, can you put forward a defensible position?