Hi,
Regulations ask for total earth current (or impedance/resistance), not only the "installed resistor current" .
There will be capacitive current in AC applications, there will be (resistive) leakage current.
So usually every test measurement equipment should measure the total current (impedance, resistance).
******
Maybe you don't ask for "test equipment" but "installed, continously measuring equipment".
Yes there are. Especially for isolated parts with dangerous high voltage.
Example: In industry often electric systems are safety isolated. Touching any (only one) wire won't harm.
But in case of an accidental short of some wire to Earth ... note: this won't cause high current, no fuse blow, it won't stop the machine...
It's just not "safe" anymore. If then some one touches a wire it may harm, even lead to death...
Thus there is special "safety measurement equipment" checking for earth impedance. And in case impedance is too low it will cause an alarm and/or (timed) power off the machine.
Bender is a manufacturer for such equipment.
https://www.bender.de/en
Klaus