The Amphora factory is worth it if you build it in a large (3-4) settlement province with at least 3 docks in it and if you have 12 PO to spare. For example, if you end up building a Circus Maximus in Africa, you'll have more PO than you can use up, so slapping that Amphora Factory there makes sense.
The Brickworks line gives huge (600 raw) income from industry - more than what the barbs get for sure! It's useful to build that in a small, land-locked province. For example, a province with 2 settlements (1 capital, 1 minor) which will not be able to use up even the basic PO you can sustain in the main city. 600 raw income is nothing to sneeze at if you have PO to spare.
I haven't tried the culture for money approach, though it was in the back of my mind for when I get to play Athens (for historical and RP reasons). I've always felt partial to Athens.
Bookmarks