They are indeed. I participated in phonology seminar in Tokyo U years back, and it was very interesting. According to the prof, Japanese phonology definitely has a tendency to use "moraic foots", that is, units of two mora, as a preferred unit of morphophonologic processes, which then maps to abbreviations of two-word phrases where each of the words get their own foot: deba-dora.
I'd say that yojijukugo are not necessarily directly related, as the readings of the kanji can be one or two mora, so there's some variability in the structure of the readings of yojijukugo.