Are we just assuming that protons and neutrons automatically pull in the quarks, neutrinos, other leptons and force carriers as well? Does the electron have a photon dependency? What about dark matter?
If not, then the our three particles are internally inconsistent and woefully incapable of building a universe. Otherwise, our set of dependencies is essentially the whole darn universe anyway.
Same goes for atoms. Give me enough and I can build a star or particle accelerator to create whatever elements or fundamental particles I want.