For a moment I thought we’d lost our way, but there’s no denying that the expression ‘a bubble’ takes us back to ‘our’ balloon, which is certainly cylindrical rather than bubble-shaped.
I’d like to thank @Windy_Skies, @tallakt , @dougselsam for your present and future contributions to this topic.
I’ve made a few changes to the preprint: as I don’t think helium and hydrogen are feasible, and indeed not useful, since only a little buoyancy is needed, barely above the mass of the balloon. So for the moment I’m opting for electric heating appliance so as to also have stable buoyancy, knowing that the irregularities of the weather would be absorbed by the aerodynamic lift (by Magnus effect) up and down. Solar heating would lead to high buoyancy ranges, thus difficulties to control the pumping mode operations.
Drop stitch technology should only be used on the discs (or crowns) where the belts run, where the forces are concentrated. The rest of the balloon could be made of simple ripstop: of course, more insulating fabrics would be preferable, but we need to look at their respective higher costs and weights.
I’ve roughly estimated the mass of a 1 km balloon (note, among the countless criticisms, I haven’t yet received the one about these incredible dimensions, but that shouldn’t be long 
) at 100 tons, and the heating power required at a few MW for a few degrees more, for an expected (only on the paper) average power of 80 MW with a wind speed of 10 m/s.
I’m not claiming that this system could be viable, but on the other hand, single-unit AWES that claim scale utility should outperform single-unit conventional wind turbines, which is next to impossible, even if it is essential. The reason is as follows: when you enter a wind farm, you can walk around, there may be activities; if by chance you try to enter an AWES park, especially crosswind ones, you will see that it is not possible and probably prohibited. I experimented this with a small AWES in crosswind operation. With a Magnus balloon, it would be the same. So the possibility to go large is the only way.