If one cuts revenue and holds debt, the interest on the debt will increase the the debt.
You are correct, spending will increase the debt which is why going to war without raising revenue was foolish. Yet going to war is not equivalent to building a transcontinental railroad, building the electrical grid or canals, or the highway system - all of which pay for themselves over time.
STB is the chosen method of the GOP to privatize Social Security and Medicare and everything else; it is the policy of the right not to fix the revenue/cost problem but to let the costs skyrocket and argue for profit sources are the only solution. In this way their base - banks and insurance companies - will benefit and the American people will not.
If one cuts revenue and cuts spending an equal amount, the interest on the debt remains the same.
How does this improve what is? If one cuts revenue and cuts spending by a larger amount, and then diverts the extra savings to paying down the debt, the interest on the debt will increase.
Huh? Three scenarios, the only common element is cutting revenue, yet three different results. That proves that the determining factor is not the revenue. QED, cutting revenue does not increase the deficit.