Hi Constantinos,
I think I understand your ideas better than most. IMHO, there is a question about the "fundamentality" of Planck's Blackbody Radiation Law.
In his essay, Sreenath declared that effect is more fundamental than cause (suggesting that a bottom-up reality is most real) because we measure data (effect) and deduce theory (cause). If this is your perspective, then Planck (and you) are 100% correct - end of story.
BUT, I am also a fan of top-down reality - that IF our theories are correctly modeled and interpreted that we will be able to predict all experimental data. We don't have a single theory (a TOE) that can accomplish all of this, so the theories are currently "fragmented" in the sense that Quantum and Relativity seem so fundamentally different that we can never unite them, Bosons and Fermions seem so fundamentally different that we can never unite them, etc.
Planck's Blackbody Radiation Law CAN NEVER explain fermions. However, if we reframe the "fundamentals" of our theories such that the Partition Functions for Bose, Fermi, and Maxwell spin statistics are considered "fundamental", then these Partition Functions naturally lead to these 3 major spin statistics, and build a framework capable of describing bosons (and Planck's Blackbody Radiation Law to any desired accuracy), fermions, or identical particles. By the way, your Properties of Exponential Functions assumes the Bose Partition Function.
I hope that you see my point - I really can't explain it any better without sitting together with you over some beers.
Congratulations on making the top 35 and Have Fun!
Dr. Cosmic Ray