Our previous corp travel agent had an arrangement where the corp discount was passed on to the traveller. The discount was based on the proportion of miles with each carrier. We got a bigger discount for QF miles than we did for AA and BA miles on the ticket, so there was an incentive to use QF flights (and codeshares) in the itinerary.
Our new corp travel arrangements are different. We now receive a regular rebate from Qantas for the business we book with them. So we now pay the published fare and then our corp travel dept get the rebate - not the traveller or their cost centre. The accountants like it that way, but I don't, especially as sometimes I am paying the difference between L and D fare and the company gets the discount in the form of the rebate.
I will PM you the actual discount percentages as its not really appropriate to post publicly.