Protection class CTs will often perform well (accuracy) at rated current, however, the CTs aren't tested for metering accuracy as part of the factory routine tests. In general, the performance can vary widely based on design and core material used. The accuracy performance tends to fall off more steeply as the current goes below rated current as compared to a metering class CT.
It is common (IEEE/CSA markets) to have CTs with both protection and metering ratings, e.g. C800/0.3B1.8.
DPC...bushing CTs with metering ratings are very common (we make a lot of them). The problem generally comes when a ratio below around 600:5A is needed. That's pretty much the cut-off where metering accuracy can be achieved with conventional core material. We do make some bushing CTs with high-accuracy (0.15 class or better) with ratios as low as 400:5A, but either nickel or nano-cores must be used and the price goes up substantially.