Concur is merely a rules based system that applies whatever your company policy is to your origin and destination points. If the policy is cheapest Y across all airlines, that’s what it’ll return. If it’s to give preference to particular airlines, that’s what it’ll do. If you try to book something outside that it’ll go into an approval queue and not ticket.

If you know how it applies the rules you can manipulate it - for example, if you want a oneworld flight rather than a Star Alliance one that’s cheaper, then move the departure time and acceptable window to the minimum to exclude the Star flight. That means time on ITA Matrix to filter out the flights you want before putting them into Concur (at least, it’s quicker to do it that way). You’d be extremely lucky to be able to specify a time that meant Business was cheaper than both WT & WTP.