Sorry R1racer that won't do.
Yes, the order in which they come out of the housing does not matter - its just the way they packaged the part. They usually match the wire colors to the stock harness so you don't have to guess which wire does what. It looks like you should be good to goOh wow thanks ninadm. That might just work. The wires are the same color but at a different order coming out of the regulator body. Hopefully I can just rearrange the pins at the connector to match the original right? I asked the seller but he doesn't know...