I do find the new Duometre offering attractive and a nice re-take on the double barrel complication movement.
The one-line one-case motto isn't exactly a secular tradition. In fact most movement lines historically have had different cases to fit the style of the day (think Memovox in its multiple iterations, and what about in the recent days the Geophysic case which had an automatic movement.. ).
I like the more elegant case inspired from the Grande Tradition line, which I find fitting with these complications in terms of aesthetics and positionning (and actually, I thought the original straight edge Duometre case to be a bit brutalist and a bit too Lange-like). This case has a personality and is well anchored in the current offering.
The crown is fine by me too (the edge of the case is rounded, so you would struggle with a cylindric sporty crown anyway, and this type of crown is also very much 'tradition').
I also like the classic moonphase treatment more. It is in line with the classic JLC moonphase designs (I am not too much a fan of the 'printed' realistic moon personally).
As for your count of complications allocated to each barrel, I am afraid you lost me there. As far as I know, one complication doesn't take a defined amount of power (some are intensive, some less so).
The Dual barrel system is helpful to distribute more power and affect less the main timekeeping function (especially for non-linear power functions like a chronograph).
for all timing / astronomical functions everything is linked to the main timing gears so the impact is only in the added power that helps run the functions and overall friction, regardless of which axis / which side of the dial they are located.
All in all, I like the 3 new models in their respective segments, with my preference going to the Quantieme lunaire (and I couldn't care less that the movement is not new. As far as I know it was discontinued so it's good that it is back on the market if there is some demand - which I believe there is, particularly with the updated package).
Not everything has to be about 'innovation' when talking about something as obsolete as mechanical watches. Personally I find them very fine as they are, and I believe they truly represent what JaegerLeCoultre can be in the XXIst century, in line with its XXth and XIXth before...