I almost never go for archery before copper. Mainly because I need to find copper asap. In most my games (monarch) ive got a small window to get out 3-5 cities before things close in. Grabbing that copper is so important...not only for you to build units, but for you to deny it to the enemy. Taking out a city defended solely by archers is much easier then a mix of copper units.
That said, I do like archery. They make cheap garrison units, and if youre protective or chinese I feel youre missing out on one of your advantages by skipping it.