This summary is not the rule. The rule text controls.
If a person owes money on more than one court judgment, creditors can each try to collect by having the court issue an execution order against that person's property. This rule explains what happens when two or more of these execution orders are levied against the same property at the same time.
When this happens, the court doesn't just let the first one to arrive win automatically. Instead, the priorities are worked out the same way they would be for competing attachment orders under a different law, K.S.A. 60-713. This means the same set of rules used to sort out conflicting claims in attachment cases also applies here, so creditors are treated fairly and consistently no matter which type of collection order they used.
This rule also makes clear that any other legal rights, liens, or preferences that already exist under other laws still come first. In other words, this rule only decides how multiple execution orders rank against each other. It does not overturn or ignore other legal claims that were already in place before the execution was levied.