The coats were not of woollen, Ezekiel 44:17, but of linen, Exodus 39:27. These were ephods, 1 Samuel 22:18.
Related Commentaries of Exodus 28:40
Exodus 28:40
40 And for Aaron's sons thou shalt make coats, and thou shalt make for them girdles, and bonnets shalt thou make for them, for glory and for beauty.