I sound like a broken record, but Sean makes a lot of good points.
While I also don't have a lot of experience with aperiodic enclosures, Bud is a big fan of them in certain instances. The transient response is supposedly improved, and the impedance curve is noticeably flattened - resulting in a more "resitive" speaker. Personally, as a tube guy, I don't get so panicked about high impedances (my Atmas love them) it's the low impedances I am more worried about.
The Fried Beta used an aperiodic enclosure, and Bud (who likes sealed boxes, just not as much as a TL) tells me it was the only way to get bass out of the small box. It makes the box size "appear" larger.
While I hope to do a lot of testing in the next 18 months, it would be interesting if we had some more A/B testing going on with between sealed and aperiodic boxes. Off the top of my head, I can't think of why a standard sealed box would be superior. And, you don't need to rely on Dynaudio or ScanSpeak's variovents. A lot of people just use a resin shower drain they get from a home improvement store, and foam or layers of gauze or felt.
Eldartford, as you said, "to each, his own", but I find the bass of electrostatic speakers to be less powerful and extended than a full range loudspeaker. They do have a lot of other niceties, though.