I'm with you - same general preference.
Specifically, for me the Side channel mostly gets used as an easy bit extra when already running a mono center channel between near and/or not so near spaced mic channels. I find it preferable to giving up the mono center channel for X/Y in those rigs. The interesting thing is that while I do strive to get the imaging from the Mid/Side pair working correctly, so that at the very least sounds that were positioned left are perceived as being "vaguely left" so as not to conflict with the imaging from the near spaced pair, the wide omnis, and the rear-facing pair. All pairs need to place sources that were positioned to the left over toward the left, and right stuff over to the right. That seems obvious I suppose..
But the interesting thing, which is somewhat different than using Mid/Side as a stereo pair on its own, is that in these arrays the imaging doesn't go away when the Side channel is muted. In fact, the imaging sometimes becomes more clinically precise when the side channel is left out. That could be because the resulting mix is then somewhat more direct, drier and less reverberant. But the sense of enveloping spaciousness it provides can be magical when used in proper proportion. So it becomes more of a "special sauce" addition rather than a specific left/right or mono verses stereo thing. And it often responds especially well to special EQ and dynamics treatment - using more of it when things get quiet or when audience enthusiasm peaks, less of it when the music gets loud and more congested. It usually provides improvement, but how much to use, when, and how becomes the crux of the biscuit.
Your Dual M/S center intrigues me as an alternate simplified way of achieving a rear-farcing pair along with the forward-facing center M/S pair. I briefly played with using an ambisonic TetraMic in that position years ago before going to near-spaced front and back facing pairs, and I may play around with that again in a more-compact secondary rig at some point. But I find I really dig what the near-spacing does along both axes and am hesitant to give that up. And in terms of accurate imaging, near spacing along both axes is required to get the recording angles across each quadrant to link up and hand-off one to another smoothly all the way around without excessive overlap. So, in my arrays the Side channel is the extra one, the special sauce one, the one that is mostly about feel and vibe, for lack of a better description.