Final answer:
The logistics readiness commander is responsible for establishing servicing times for priority cargo, including Priority 01 and Priority 02, not related to due-out releases, ensuring mission-critical supplies are transported efficiently.
Step-by-step explanation:
The establishment of servicing times specific to priority cargo, such as Priority 01 and Priority 02 issues that do not result from due-out release, is typically the responsibility of the logistics readiness commander. In a military context, the logistics readiness commander plays a critical role in determining the urgency and timing of cargo and supply shipments to meet operational requirements. These priority levels are established to ensure that essential equipment and supplies reach their intended destination in support of mission-critical operations.