A publication which is also available on Researchgate provides interesting figures 3 and 4:
Margarita Khusnutdinova, Aigul Haibullina, Alex Sinyavin and Aidar Hayrullin
Kazan State Power Engineering University, 51 Krasnoselskaya Street, Kazan, 420066, Russia
Many parameters remain to be known to know if a Magnus effect-based balloon could improve the insulation of contained heated air: the volume, the diameter, the angular speed, the temperature gradient, the degree of interference between the layers according to these parameters …
However, I would make a remark: we can predict that the effect would be limited during pumping mode cycles due to the variation in the rotation speed going as far as its stopping or even its reversal. It is the reason why I rather see an use in static mode (which is mentioned in the preprint), i.e. for Is an electrically heated balloon lift support for AWES possible? And for gigantic balloons the time to achieve stability of the maximal heat could be very long, perhaps several hours or even days. But there are only hypotheses.
A heating wire (like below) with adapted electrical resistance and battery could be settled in the middle of a balloon. Then measuring the aerostatic force when rotating (and the time to achieve maximal heat) and when not rotating and comparing.