Since you seem to like analogies...here's one about the surplus:
The Clintons had a credit card with $1000 on it. Clinton went to Hillary with a plan for their household budget. They agreed to use that budget for a year. By the end of the year, they'd saved more money than they had spent. That money went into their bank account, but wasn't used to pay off the credit card. Interest still accrued.
The way some people want to "debunk" the idea of the Clinton surplus is by saying the debt would have gone down. Just because you have a surplus doesnt mean it gets applied.
BTW, here's an article at The New Republic crediting Republicans with the surplus.
Who Created The 1990s Surplus, Clinton Or The GOP? | The New Republic
The non-existent surplus.