What is Control Plane Service Request in LTE?

It is the EPS NAS message the UE sends when service restoration uses control-plane CIoT EPS optimization instead of the normal user-plane branch.

What should I inspect first?

Start with Control plane service type and whether the message carries an ESM or NAS message container.

Why is it important in troubleshooting?

Because it explains why the trace may continue without the usual bearer setup and instead carry data or signaling directly on the control plane.