I should have known that.
XL is in ohms, but it is reactive ohms.
The inductance (which generates reactive ohms) is simply a measure of the coils inductance for reference purposes. It has no direct effect on using the coil as a current transformer. It is not seen by the secondary when the transformer is performing the transformer function. That is because any magnetic flux generated by the current in the primary is canceled by the magnetic flux generated by the corresponding current in the secondary. Since these primary and secondary fluxes cancel each other, there is no inductive effect. There can be some inductive effects due to small leakage inductance, but that is usually negligible at low frequencies.