That's how science works. You can't prove the mass is exactly zero by experiment, but you can show it is less than some really tiny amount. This happens to mean all predictions will be accurate if you assume the mass is exactly zero.
And I didn't say the mass of the photon was "truly a miniscule amount.", I said that it was known to be no larger than a (specified) tiny amount, a statement about empirical knowledge. I have no reason to believe it is not zero, and believing this is consistent with all data, so that's what I believe (and that is what is done in physics).
What does "zero mass" mean Elroch ... if not to mean ZERO ?
And then proceed to explain how the mass is "truly a miniscule amount."