Found this quote when rereading that second post you linked to.
Notice how they tie the dirty word of “debt” to the notion of cutting taxes. Again, they are asserting that when you let people keep more of their money, it equates to increasing the national debt. The key point here is it is a total neglect of the true cause of any debt: spending.
So, essentially, the assumption of tax cuts increasing debt is a loaded question because, among other things, it reframes things in such a way that dodges the causes of debt.