Page 112 of Garner's fourth edition reads
✳Between each and Other Constructions with Fewer than Two Objects
This phrasing is a peculiar brand of illogic, ✳between each house/speech, instead of, properly, between speeches and between every two houses (native speakers of English don’t consciously think of the phrase as between each house and the next).
However, elsewhere the author adds
"Between calls for a plural or compound object, but it's standard when more than one is meant: Spread butter between each layer."
Are both excerpts not contradictory?