I probably should have used "bore" or "used" instead of "wore". The point is, lots were used even in Aaron's day. They were not a later substitute for the Urim and Thummim.
It wouldn't change what you were saying. You seem to believe that they were two different things while I on the other hand believe in Aarons time and after that the Urim and Thummin were
what was used to cast lots.
A few sage words.........
“The lot is cast into the lap, but its every decision is from the LORD” (Proverbs 16:33).
This might shed some light on the subject, from the JE
The most important passage is I Sam. xiv. 41, where Wellhausen and Driver have corrected the text, on the basis of the Septuagint, to read as follows:
"And Saul said: Lord, God of Israel, why hast thou not answered thy servant this day? If this iniquity be in me or in Jonathan my son, Lord, God of Israel, give Urim; but if it be in thy people Israel, give Thummim. Then Jonathan and Saul were taken by lot; and the people escaped"
(Driver, "Notes on the Hebrew Text of the Books of Samuel," p. 89, Oxford, 1890; Budde, "The Books of Samuel," in Polychrome Bible, p. 63; H. P. Smith, "The Books of Samuel," p. 122; Kirkpatrick, "The First Book of Samuel," in "The Cambridge Bible for Schools and Colleges," 1891, p. 137).