I would be soooooo interested in reading about this one!
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The advantage is that the baffle can be kept narrower than the diameter of the woofer. However my wide baffled Spica Angelus image wonderfully so I'm not sure a narrow baffle is required for imaging, though this is the argument used by those trying to sell narrow speakers.
I suppose a disadvantage would be if you had to place the speaker close to a side wall, or equipment rack then you might get excessive reinforcement and boomy bass compared to a front firing woofer. Mind you these would be lousy placement for any speaker.
So, in summary I don't really see any advantages or disadvantages. It's really just a "school of thought".