The argument is: Planck's relation says that a photon's energy is in proportion to its frequency. But a higher-frequency photon oscillates more times per second. If you look at the energy of a single oscillation, you get a constant, regardless of frequency. This is remarkable and so we should reframe Planck's constant as the fundamental "energy per cycle."
The problem is that "energy of a single cycle" cannot be related to other measures of energy, e.g. the binding energy of an electron in the photoelectric effect. Basically it seems like unit sophistry.
Sophistry is a bit strong of a term in my opinion.
Physicists have received Nobels for inventing particles to balance equations. Why isn't that sophistry? Maybe we just need to spend a few more billion dollars on a brand new particle accelerator to figure that out.
