Inflation averages about 2% a year. Freeze spending growth at 2% allows gov spending to keep up with inflation. At 1%, gov spending will actually get reduced by 1% a year. At zero growth, gov spending would effectively be getting cut by 2% per year. While those are all preferable to what we have now, that's not cutting nearly enough fast enough.
Ten years isn't fast enough. What that chart has not factored into the equation are rising interest rates, which will rise in the next ten years. Our debt service is currently 9% of the budget while interest rates are at all time lows, they can't go down any further, they can only go up. As interest rates go up, our debt service will grow exponentially and swallow much larger shares of the budget. We'd have to cut massive chunks out of other areas of the budget to keep from adding to our already outrageous trillion dollar deficits.