Hi Lucas,
That particular error is encountered if all of the data of the field have the same value (or very, very close to the same value). Is it possible that one of the fields had all the same value?
However, regardless, there was a known problem with using batch geoprocessing on the field of Empirical Bayesian Kriging, so I would not recommend trying to automate that way. This has been fixed for the upcoming ArcGIS Pro 2.6. In the meantime, I would suggest trying to write a Python script to automate the interpolation, if you're comfortable using arcpy.
-Eric Krause