i think it would be a pain to build such a core as for the havocs shown in your picture. witz our regular skibuilding methods we`d never get the accuracy needed for such things. i think such skis can`t be done without a cnc to cut the core. then the easiest would be to press such skis with vaccum - it`s really hard to build such a 3D-topmold that fits exactely to such a surface.
the easiest way to increase the torsional stiffness is to use torsion forks, as used on snowboards. on all of my skis i used either 220g/m2, 25mm wide carbon or fibreglass bands, alighned crosswise from binding to tip and binding to tail
normally i just use them on top of the core (combined with 2 layers of 308g/m2 45° biaxial fibreglass, one layer on top and one below the core). and i can`t complain about torsional stiffness, even though my skis are a little wider than yours

and if you`re not happy with the result you still can build in an other pair of forks below the core.
for your second question: on my first pair of skis i did what you`re asking for (at least i think so). i routed out some gaps in the woodcore to reduce the weight. at the same time i placed these pockets in a way that i still was able to place the carbon forks mentioned above onto solid woodcore.
afterwards i filled up those pockets with honeycomb material. let`s just say it was a pain in the ass to do

the frustrating part was, that i just gained 20g of weight on each ski. so i think in the end i didn`t gain any weight because during layup some honeycomb cells got filled with epoxy.
maybe you had to build larger pockets. but then i fear that the stability of the ski would decrease and suffer.
so if you want to gain weight, use lighter wood for the core. this will have a bigger impact than routing out some pockets. and it will be done quicker
