That the verses attached to the seventy-two are cited by Christian psalm numbering is a small technical point with a large implication, and it is almost never mentioned.
The Book of Psalms is numbered differently in the Hebrew Bible and in the Greek and Latin traditions that lie behind Christian Bibles, because two pairs of psalms are joined in one tradition and separated in the other. Over a long stretch of the book the Hebrew number and the Greek or Latin number differ by one. The versification within psalms also differs: Hebrew counts the superscription as a verse where English does not, so a reference like the third verse of Psalm 3 points to different words depending on the tradition.
Anyone checking the seventy-two against a Hebrew Bible will therefore find the verses do not always land where the list says. That is not an error in the list. It is a signal about where the list was compiled.
The signal is consistent with everything else about the apparatus. The names come from the Hebrew consonantal text of Exodus. The angelology is Reuchlin's, from 1517. The choirs are Pseudo-Dionysius. The verses are cited from a Christian psalter. The offices are Lenain's, from 1823. The tarot is the Golden Dawn's.
The seventy-two are Jewish in their raw material and Christian in almost every layer of their construction. That is not a criticism of the system, which is a real tradition with real depth. It is a caution against the common presentation of the whole thing as ancient Jewish angelology, and it explains why sources within Judaism, when they discuss the seventy-two-fold name at all, discuss something recognisably different from what a modern angel book describes.