Nope. I think it's a very interesting and possibly relevant physical theory, but there's a couple things that contest it's ideology.
First, the OBT theorist Chris Long states in a podcast with Erik Cortina that we currently don't have instruments with bandwidth capable of measuring the impulse or wavelength produced by the shot. So as of now, it physically can't even be measured and proven.
Secondly, there's too much variability. Meaning it might be possible if you were able to get 0 ES/SD, but that's impossible. Most of the best SD's are still in the double digits when taken to a significant sample size, so if you were really thinking you were "tuning" a load based on the vibratory movement of a barrel and the vibratory impulse is so small we don't currently have instrumentation to measure it, any deviation in velocity would lead me to believe the barrel would be out of "time".
Third, none of these theorists will provide statistically significant proof. All the benchrest and F-class shooters will scoff at someone asking for a significant sample size, they either excuse it with not wasting barrel life, or 20 shots in competition being significant, etc. I have yet to find evidence of any shooter showing two 30-50 shot groups where one was measurably better than the other and outside the statistical variability, due to manipulating a single variable like seating depth or powder charge.
Lastly, Cortina had a guy named Eric Higgins from Ammolytics on his podcast, it's a very interesting podcast and he's attempting to come up with the technology to measure and prove or debunk "harmonics".
Sorry for the long winded post but over the last couple years I took a DEEP dive into all of this and thought it was fascinating, both how much of it is absolute BS, and how many reloaders out there still believe in it. It started with my own observances, and now there's ballisticians and companies putting this stuff out there so it's understandable by everyone. Understanding the variability and shooting sufficient sample size is the key to all of it, and most WILL NOT do it.