Hi,
There is a post from Esri if you want to compare the capabilities of each interpolation method here (https://pro.arcgis.com/en/pro-app/latest/tool-reference/3d-analyst/comparing-interpolation-methods.h... yet it doesn't say the trade-off of each method. You may want to read some journals to find the pros and cons of each method since your case might be very specific on the topic of soil things. For example, you can read in this paper (https://www.mdpi.com/2073-4441/13/2/212).
Another way to quantify the accuracy of each interpolation method is by using the Cross-Validation Tool in ArcGIS Pro (https://pro.arcgis.com/en/pro-app/3.0/help/analysis/geostatistical-analyst/performing-cross-validati... For example, I created two interpolations, IDW and Empirical Bayesian Kriging (EBK) (make sure you create using Geostatistical Analyst Tool one). I can compare the accuracy of both interpolations from its error value (choose the smaller error).
The result from this tool will create a new point feature class containing the actual and predicted values, followed by its metrics. For example you can sum the error column to get the sum error metrics. Then compare it with another interpolation method
Hopefully answer your question