I think pottery is very important early, but Bronzeworking has too many advantages that you can leverage immediately.
1. Revealing copper will show you where your second city is going if it is nearby.
2. Slavery civic literally multiplies your early production and helps you compete with the AI long before your cottages and other commerce can get you an equivalent tech advantage.
3. Chopping is weak before mathematics, but with production bonuses like industrial, stone, and marble you can have a good chance at some nice builds like the Oracle slingshot (at least on Monarch Marble can reliably get you there) or that Stonehenge culture boost (with stone). At Prince you can almost always have both if you get both materials to build with.
4. Put 1 and 2 together (sometimes helped by 3) and you have the classic axe rush.
This comes from just one tech, BW. Most of the time, cottages can wait a few turns.
edit- I have found that this game is flexible enough that bronzeworking doesn't absolutely have to go first in every case. It seems to depend on the size, time, number of AI, the specific start, etc. I've been playing through some of the maps besides Terra and Continents. Archipelago can sometimes give you a much better commerce start going for fishing first (not everyone starts with it), but BW is always an earlier rather than later tech...
SR,
Still playing that single player, Mali (Mansa), Monarch, Terra, standard map, standard speed, working for my second big Monarch win. But Cathy (other side of the world) and Huayna, my former buddy, are keeping up with me in the tech race (but I went Cavalry when they went Democracy so Huayna has decided give me their tech by declaring war on me.. he just doesn't know it yet). Muwahahaha! I am the hedgehog! ("Good to Great" reference... excellent book IMHO)