Only because the debt would have, legally, been paid.
Of course, those receiving the trillion-dollar platinum coins would probably be a little upset.
Or they might just deposit them, flooding the USD market, and life would go on, albeit with a new surge of inflation.
Only two coins would be minted, and they'd largely be symbolic - i.e. you can't steal them. It's only inflationary if the currency they pay for enters common repeated circulation, which simply isn't happening at this point.
As much as I think the Fed system is a screwup, this is false. The money are already in the economy, they entered when they was borrowed.