I did a quick test with a stack of 9 images.
As expected, data rejection works better after using nearest neighbor interpolation for the stacking when compared to Bicubic B-Spline.
Although the Bicubic version seems smoother (image 1) than the nearest neighbor version (image 2) , I think this is just because it has been blurred a bit. When I added a Gaussian blur to the nearest neighbor version (image 3) it looked better than the Bicubic B-Spline version to my eye.
The video is a bit hard to follow but it compares the Bicubic B-Spline vs. the non blurred nearest neighbor.
LINK
James