For a relatively up-to-date tutorial on what we believe is the "right" way to do adiabatic logic (i.e., capable of far more efficiency than competing adiabatic logic families from other research groups), see the below talk which I gave at UTK in 2021. We really do find in our simulations that we can achieve 4 or more orders of magnitude of energy savings in our logic compared to conventional, given ideal waveforms and power-clock delivery. (But of course, the whole challenge in actually getting close to that in practice is doing the resonant energy recovery efficiently enough.)
https://www.sandia.gov/app/uploads/sites/210/2022/06/UKy-tal... https://tinyurl.com/Frank-UKy-2021
The simulation results were first presented (in an invited talk to the SRC Decadal Plan committee) a little later that year in this talk (no video of that one, unfortunately):
https://www.sandia.gov/app/uploads/sites/210/2022/06/SRC-tal...
However, the ComET talk I linked earlier in the thread does review that result also, and has video.