For VTs, metering (measureing) and protection (relay) designs are essentially the same. In the US, most wound-type VTs come with a metering accuracy rating, which can be used for relaying purposes (overkill).
CTs are a different story. Metering accuracy CTs are designed to be accurate at currents present during steady-state conditions (i.e. nominal current +/-?%). Relay rated CTs are designed to maintain some accuracy during system faults. In the ANSI market, they are designed to be +/-10% accurate up to 20 times rated current and are rated in terms of the voltage that can be developed across the secondary winding.
In the IEC world, there are many ways to rate relay class CTs. 10P20 at some VA is the close equivalent to the ANSI C class. C800 would be close to the IEC 10P20 - 200 VA, assuming a 5A rated secondary. Most IEC installs use 1A secondary and the math gets a little more confusing.
It is true that most relay rated cores have a metering accuracy at nominal current, however, the factory test procedure for testing relay and metering cores is quite different and normally the routine test reports will not give enough information about the relay rated cores to assume a suitable metering accuracy.
Hope this helps.