I would claim that a positively buoyant hot air balloon LOSES potential energy as it ascends - just as a rock loses P.E. as it falls.
When an object falls, its gravitational potential energy becomes kinetic energy. If there are no losses to drag, then just before the object hits the ground, 100% of the potential energy has been transferred as kinetic energy.
Parachutists avoid that fate, by using the drag of the chute to dissipate the potential energy, so minimizing their kinetic energy upon landing.
There is no such thing as single "neutrally buoyant" balloon. That NB state can be achieved by a wide range of volumes, structures and gas densities. I offer The Hindenburg as an example or what is possible.
JB and I have tried to be completely open with our designs, test procedures, data, and results. You'll find most of our mistakes described on our blog without shame (it was our first 450 lb, 23' tall, manned DDWFTTW cart - we made few mistakes).
As if. The dyno was supposed to measure wheel force and prop thrust. However, and without notice, that became some Rube Goldstein contraption, tied to a truck, where success was apparently measured by how much the rig "walked" due to vibration, upon the small pegs supported my smooth plates.
The cart's weight changes like a yo-yo, the gearing ratio selected by trial and error, ratchets set this way and that, and the rules for the trial were last revised on July 3rd. The last day of the trial. Not to mention that until the official trail, windspeed was not measured at all, and indication was by pon-pons from Staples.
We kind of like the fact that most people that allow themselves to get dragged into this wind up being convinced, either by the explanations, the real-world evidence, or simply the fact that we try to be as open with the facts as we know how. Yes, there have been plenty of attacks and insults thrown our way, and we don't always (ever?) rise above it. We're human (barely). To the best of my knowledge, no one has ever started out believing DDWFTTW is possible and been convinced differently - but many have made the opposite transition.
That self-serving emphasis on belief and being convinced, tells of your motives. Science does not work that way, but game shows and Oprah, do.
I think one of the great shames is that people with a genuine curiosity about this and related topics wouldn't come within a mile of these forums because of the ridiculous trolls and ensuing drama. It's astonishing how different the reception is in real life.
Not to mention your physics.