Again I have never heard them but the problem with the absorption method is that it will only work at certain frequencies.And the frequencies it does work well at are the frequencies where human hearing is most sensitive.
You forgot to address the point that with rigid wall speaker cabinets, the rear wave simply doesn't magically go away. Your re-radiation problem is still there - it has simply been moved to a different spot.
From a historical standpoint, keep in mind this cabinet type was designed by the BBC for monitoring purposes. There was a lot of reasoned thought and study that went into them by a group of very talented designers whose primary goal was to give the recording engineers an honest representation of their work.
Keep in mind that every choice one makes in engineering any product involves a compromise. When one addresses one problem, there is always another one created. The question is which of the issues is less a problem?
The wide baffle is a good example. A wide baffle can help move the step effect away from an area where hearing is sensitive. Robert E. Greene has discussed the technical aspects of this in great detail in various articles and on his web site. Narrow speakers may solve one issue, but they increase problems in an area where hearing is sensitive.
Same thing with off axis frequency response. This can actually increase problems in a reflective room situation since wide dispersion increases the ratio of reflected energy to direct arrival sound. This can cause smearing problems of its own. The BBC design philosophy is intentionally not interested in a lot of off-axis energy in the higher frequencies.
Again, that is a conscious design decision.
Many people would think such a speaker would work better in your room than a model with wide dispersion at higher frequencies.
The crux of the matter is that different professionals can have legitimate disagreements as to what issue is more important for any given design aspect. You may not agree with their choice but that's fine. Just don't think that wide baffle was some careless and arbitrary choice made by someone who didn't know what they were doing.
I just finished a short listening session of Michael Feinstein with a solo piano singing some Jerry Herman material. I have Spendor SP1/2Es. It would be hard for me to imagine a more natural presentation of this recording than what I heard. So, for whatever design flaws you consider the classic BBC design to have, it works for me. ;-)