See About split core CTs SCT-013 family - #5 by foxfaisal
Throughout the above, you write “TVS resistor”. The component is not a resistor, its full name is Transient Voltage Suppression Diode. It is a 2-terminal semiconductor device with a highly non-linear V-I characteristic. Because of that, you will not read a sensible value of resistance. I suggest you look up the data sheet for one to see exactly what it does. It is connected across the secondary winding of a current transformer to clamp the voltage to a safe level should the burden become disconnected. It is most important that it does not shunt current away from the burden, and therefore it must conduct negligible current at the normal operating voltage across the burden resistor.