Smoothing smooths the transitions between tiles (which, as the name says, overlaps on the roof), but the best choice would be to use some window features, such as spectral analysis.
I believe this is a prehistoric relic, because the behavior goes back to some very old pre-trellised code and is used in coplot , which is only remembered by veteRans. lattice::equal.count calls co.intervals in graphics , where you will find some explanation. Try:
lattice:::equal.count(1:100,4,overlap=0)
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