Right
俞 supplies the sound — yú unchanged.
俞 originally pictured a hollowed-out canoe; the meaning doesn't carry into
榆. Pure phonetic. Same phonetic in
愉 (pleased),
输 (transport),
喻 (analogy),
偷 (steal). The elm is a venerable Chinese tree; the literary
桑榆 'mulberry-and-elm' connotes old age, since both grow where the sun sets.