OP is HON with LH, which is probably the best elite status all around! I wonder how he/she ended up flying on the cheapie W fare with TG... when he/she can fly with LH on this route.

Nonetheless, if you can dish out the cash for upgrade at departure, I think you may end up earning business class EQM and RDM as long as the agent books you into revenue business class code and not in award business (I).