Verification, please?

Yes that's a good way to think about it.

One thing I commonly see is the idea that more voltage through a coil will make a better spark. That's may be true at high rpm when there is not as much dwell time to build a field to high strength. This is the idea behind the external ballast resistor cooling and of course the dual point distributors for racing extends the dwell to give more time for the field to build.
The other part is the actual energy needed to get a good flame going. More can be better, but at some point there are no more gains. The excess we see as ringing on scope.* I don't think that's bad, but it does show that increasing voltage or current through a coil during those conditions is just going to create more heat in the coil.

*Not everyone agrees with that, but I still think its correct.
https://board.moparts.org/ubbthread.../2579668/re-ballast-resistor.html#Post2579668