That does not matter because the Treasury funded it with their t-bonds and t-bills, not with CPI (with a small exception for the TIPS notes). The US government is running with a constant debt unlike say Saudi Arabia which has a massive fund. Though they also have bonds.
Let me illustrate this with an example:
1. I borrow $1M at 5% p.a., for a year
2. I lend out this $1M to someone else at 7% p.a., for a year
3. A year passes
4. My debtor has not defaulted! Great, I collect my $1.07M
5. I pay back $1.05M
6. I am $20k ahead
Nowhere in the above logic we need to know what happened to the CPI or any other inflation measure.