This summary is not the rule. The rule text controls.
When someone is charged with a misdemeanor or a felony that allows bail, and a judge issues a bench warrant for their arrest, the warrant has to include an extra instruction for the police. This instruction tells officers that if the arrested person asks for it, they must take that person before a judge right away. This can be a judge in the county where the crime happened, or a judge in the county where the arrest actually takes place.
The point of this rule is to protect the person's right to ask for bail quickly. Instead of sitting in jail while waiting to be transported back to the original county, the person can request an immediate hearing wherever they are arrested. A judge there can then set bail so the person can be released while their case moves forward.
This matters because it prevents unnecessary delays. Without this rule, someone could be held for days just because they were arrested far from where the charges were filed. This rule gives them a faster path to get in front of a judge and try to secure their release.