In my experience both designs can sound great. Sure they have different design limitations (step or gradual roll off, efficiency, port noise. size and damping characteristics, etc) to work around, but each design properly implimeted can sound very good.
Conversly I have heard horrible examples of each type as well.
In fact I bet most hear couldn't tell the difference between a properly desinged ported or AS speaker if they didn't know ahead of time.
Especially when one looks at modern speaker design and methods, materials and experiences of past design in current speakers, the debate is kind of moot IMHO.
To me, it's almost like the direct drive vs belt drive vs rim drive turntable 'audiophile' debate, makes little sense as their are excellent examples of each.
Personally I think some of this has more to do with a favorite brand/model of speaker, than a type of woofer loading.
And by the way, some still think open baffle designs give the greatest calarity and purity of sound.