This summary is not the rule. The rule text controls.
When a court orders an executor or administrator (called a "fiduciary") to pay money to a creditor or someone with a stake in the estate, that order counts as proof the fiduciary actually has enough money on hand to make the payment. The same is true if a court allows a judgment creditor to collect money directly from the fiduciary through a legal process called an execution. In both cases, once the court issues the order, everyone can treat it as solid proof that the funds are there to cover the payment, unless someone appeals the decision.
There's an exception, though. If a court holds a deceased fiduciary responsible for certain assets during an accounting process (a review of how the estate's money was handled), that finding does not automatically prove the new fiduciary who took over has those same assets. In other words, blaming the old fiduciary for missing or mishandled funds doesn't mean the current fiduciary is holding onto that money now.
This rule matters because it affects who has to prove what in court. If you're a creditor or someone owed money from an estate, this rule can save you from having to prove all over again that funds exist once you already have a court order in your favor. But if the fiduciary who owed money has passed away, you may still need to show that the current fiduciary actually has the assets before you can collect.