Does a current clamp measure apparent or active current? And is it accurate?
A clamp-on ammeter has no way of knowing the phase relationship between the current and the voltage, so it only gives a magnitude reading, which I guess is what you're calling "apparent current". It can't mesaure "real power" unless it also has a voltage reference input.

The split core of a good clamp-on meter gives readings that are as accurate as a non-split current transformer. In any case, read the accuracy specifications of the meter you're considering.