An in-field interaction plot, δMR , has been recently introduced, presenting important advantages over the classical remanence plots. Here a general δMR is proposed, allowing to assess interactions even in systems with shifted and asymmetric major loops. To construct such a plot, a recoil loop (which incorporates a first-order reversal curve, FORC) and the position of the center of the major loop are only needed. Applying the method on exchange-biased Co/IrMn bilayer gives two types of δMR obtained for measuring field either parallel or antiparallel to the exchange-bias direction. This provides valuable information on the reversal mechanism and allows distinguishing between effects coming from coupling into the ferromagnet (Co) and those stemming from interactions in its interface with the antiferromagnet (IrMn). The essentially nonzero general δMR plot obtained from the major loop revealed to be a precise measure of the reversal asymmetry. The technique can readily be adjusted for use in other scientific fields where hysteresis is observed. We provide free software which generates such δMR plot(s).