This summary is not the rule. The rule text controls.
If someone tries to challenge a court's authority in a separate, unrelated case (not by directly appealing the original decision), the law makes it easy to prove the court had the right to act. If the original court papers included a sworn statement saying the court had jurisdiction, that statement is enough to prove jurisdiction existed. As long as there was no fraud or dishonest dealing involved, this proof cannot be questioned later.
The same protection applies to jurisdiction over the people involved in the case. If the court's final decree states that it had jurisdiction over the parties, that statement is treated as proof of that fact.
In simple terms, this rule protects final court decisions from being challenged years later in unrelated proceedings. If the paperwork said the court had the right to decide the case, courts will trust that unless someone can show actual fraud. This gives people confidence that decisions made by the Surrogate's Court, such as those involving wills or estates, will hold up over time.