I won't disagree with your theory, but my practice shows that appropriate resampling needs to be done with a measure of sharpening to be worthwhile. Straight Bicubic may be technically more accurate, but it makes images appear softer than they might be. Using Bicubic sharper usually leeds to a more appropriate look, but one has to watch out for artifacts.
For web display, which is what I do here, it's the best choice. If I was aiming for prints only then I would likely not choose it.
Michael