<font face="Verdana, Arial, Helvetica, sans-serif" size="2">Originally posted by MapleLeaf:
In the past year about 50% of my flights are in paid J - including transcons.
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Mapleleaf, you have very clearly answered your own question.

Even if you flew a 100% paid J your chances would be extremely slim, unless your corporate account manager was able to intervene on your behalf, 50% paid J will get you absolutely nothing on BA.Zero,zilch ,nada.
Try AA if you are interested in OW.