The "savings" just means we are spending less
We are still spending more than we take in. That isn't real conducive to paying down the debt.
We can see what the Congress critters care about - their own inconvenience when trying to fly. Not meals on wheels or education or the GI or the middle class or the unemployed or the people that are upside down in their homes or have just plain lost them (remember the paid off house that the bank tried to foreclose on?).
Have seen that Congress would rather government employees (including teachers and firefighters and police) take a 10-20% cut in pay than charge millionaires an extra 3% in taxes.