I didn't realize the hall effect was accurate over such great distance... at least from the picture, that sensor donut looks huge.
I've used some very expensive calibrated hall effect current monitors from Allegro Microsystems, and the sensing conductor is built right into the microchip, so it can be microns away from the hall effect sensor. For very high current, they advise you can stick the chip on top of a heavy copper bar conductor, but still the separation is hundredths of an inch.
I've only used AC clampmeters, never studied a DC clampmeter. The ac meter used a split core transformer built into the jaws... wasn't very accurate, range was 1 to 1000 amps AC, not even tenths let alone hundredths were measured.