Obviously you haven't heard a AMT3....pretty good in stock form:
http://www.audiokarma.org/forums/showpost.php?p=4594064&postcount=1
but of course can be improved like most almost 40 year old designs.
The main weak point in the ESS AMT3 cabinet was the relatively thin front baffle, the rest of the speaker is a box "within" a box and is very solid. This can be easily dealt with a simple brace.
http://www.audiokarma.org/forums/showpost.php?p=5235789&postcount=15
Its nothing like the AMT1 you speak and basically used the same 3 way design you came up with here to ease the transition between the Heil and woofer-no mid range hole with the AMT3. Clearly the best of the lot.
http://www.audiokarma.org/forums/showpost.php?p=126283&postcount=8
As I recall the Transars where considered the ESS "flagship", they were the most expensive models anyway, and used the larger Heil....
http://www.ebay.com/itm/ESS-Transar...pt=Vintage_Electronics_R2&hash=item3ccb384ac7
(no affiliation here)..
http://www.audiokarma.org/forums/showpost.php?p=2766762&postcount=14
Cleaning up the bass is a good objective. Some of the later versions used internal bracing to minimize cabinet colorations.
The AMT1 lacked any passive or port-so the stock 10" woofer has a hard time keeping up with the Heil.
IMHO the later AMT1x... passive versions that also used a modified crossover, along with a 'whizzer' cone under the woofers dustcap to ease Heil/woofer transition seemed to have the best overall performance of that model.
Refurbed, recapped and sealing the cabinets, and driven by the right complimentary equipment (pretty important in my experience with any vintage ESS/Heil speaker) they IMHO can sound very good.
Lots of people enjoy ESS/Heil speakers of all types-and probably don't give a hoot what the so called "High End" community thinks.
Amazes me how some people (still) put a lot of stock in this, seems a bit passe....IMHO of course.