Why it matters
On coax it flows on the center conductor and the inner surface of the shield. Equal and opposite fields largely cancel outside an ideal line.
A practical example
A clamp around the entire coax should see little ideal differential current; a reading there usually points to common-mode current on the exterior.
Use it well
Keep differential and common-mode measurements separate when diagnosing feed-line radiation.
Keep the measurement reference plane, current program rules, land access, spectrum authorization, and exact packed configuration with the decision. A connector, meter reading, or program name alone does not establish readiness.