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.

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.