Celestar,
I wish I could clarify "consolidator", but unfortunately the representative didn't clarify it for me and I didn't ask. Sorry. However, you know that you can get a different answer everytime you call so, who knows?
Also, please note that I put a post in the British Airways area that makes mention of the fares they find acceptable for US members. Basically, that is all fares except for H,G, and Z. She also mentioned that this would all change on October 31 as the OneWorld partners try to align their fare codes.