It's somehow similar to a random generator where you have 5 dices, roll them and then add to the entropy pool only if the total was even or odd. Changing the power is like forcing the system to use only 4 dices. It changes the probabilities a little, but not in a very controlable way, and with a good mixing in the entropy pool it's almost irrelevant.
Note if you look at the paper, you notice a close but not entirely perfect normal distribution, but nothing you cannot fix with UDNs and Irwin-Hall. For reference how that is done you can read the bottom of this very useful RNG article: https://people.ece.cornell.edu/land/courses/ece4760/RP2040/C...
My overall verdict on the tech in OP is that it is amazingly promising!
The specific mechanism is mentioned in the article:
https://en.wikipedia.org/wiki/Spontaneous_emission
> Although there is only one electronic transition from the excited state to ground state, there are many ways in which the electromagnetic field may go from the ground state to a one-photon state. That is, the electromagnetic field has infinitely more degrees of freedom, corresponding to the different directions in which the photon can be emitted. Equivalently, one might say that the phase space offered by the electromagnetic field is infinitely larger than that offered by the atom. This infinite degree of freedom for the emission of the photon results in the apparent irreversible decay, i.e., spontaneous emission.
So, there is nothing revolutionary going on there, this paper is more about how to build a system with micro-LEDs and a photodetector and how to remove any inherent biases in that system, with the obvious benefit of being able to make something very compact.