I read Butler’s essay when it first came out but the James piece is new to me. Let me be blunt. Joseph James, Richard Butler and you do not have the social power to tell everybody what “equivalence” means and force them to use your definition, especially because your definition is almost certainly different than what most people use.
The physical reality is known by almost everybody here. We’ve certainly discussed it enough. Given three parameters (1) Field of View, (2) Depth of Field and (3) exposure, it is possible to define “equivalence” of lenses for different sensor sizes such that two of the three are held constant but the third must be allowed to vary. In your (and Butler’s and James’) definition, the FOV and DOF must be the same but the exposure is allowed to change. I maintain that most people, including me, say that FOV and exposure must be the same but, because the focal lengths of the two lenses differ, the DOF also differs. The difference in DOF is simply less important.
(So how does one hold exposure and DOF constant and allow FOV to change? Answer: use a different size sensor with the same lens at the same distance from the sensor using the same aperture. Alternatively, simply crop the image differently.)
FWIW, Chris Niccolls of PetaPixel has, within the last year or so started stating (usually rapidly) that some lens is equivalent to some FF lens but the DOF must be changed to some different aperture value. I suppose the PetaPixel folks got tired of folks complaining.
Frankly, this whole issue seems suspiciously like some guy with a penis and XY chromosones demanding that everybody must say that he’s a she. Social dominance only goes so far.