With regard to dipoles the smaller or at least different excitation of room modes is mentioned as a big advantage. Since I could not find clear and comprehensible measurements for this, I have tried it myself. The arrangement is as presented:

Measured objects are two H frames up to 200 Hz with small open baffles on top taking over from 200 Hz. For all measurements the OBs were positioned 45° to the space axes. A symmetrical arrangement of the dipoles was not possible for practical reasons. As recommended by Linkwitz and others the loudspeakers are just as far from the front wall as the listening position (Hoerplatz) is off the rear wall. All measurements took place at the listening position. Both loudspeakers were active for all measurements. Distance from the listening position to the loudspeakers is 2.4-2.5 m.
First the comparison of dipole orientation along the longitudinal axis (red) and transverse axis (black). (Caution: These colors do not correspond with the colors in the room sketch!):

One can see, how with the alignment of the dipoles along the longitudinal axis the longitudinal modes at 33 and 66 Hz are energized. The modes at 100 and 133 Hz are less pronounced.
With placement in transverse direction the first longitudinal modes are substantially less energized. But we get transversal modes at 43 and 86 Hz. Interestingly these have been excited in the longitudinal placement to the same degree. A further transverse mode with 127 Hz forms a plateau with the longitudinal mode of 133 Hz.
Generally it can be stated that the longitudinal arrangement supports all transverse room modes to the same degree, while the dipoles in transverse arrangement - working against each other – actively suppress the lowest longitudinal mode.
I find the compromise between longitudinal and transverse arrangement particularly interesting:

Here the colors of the frequency responses agree with the room sketch. In my opinion the black curve (45°-positioning) makes for a good averaging between longitudinal and transverse alignment. Have I to mention that it sounds best too?!