Boltzmann had a whole lot of math backing up his assertions. Among the many issues with what you posited, I highly doubt you have bothered to actually check to see if the force necessary to keep electrons from colliding with the nucleus would also be commensurate with what’s needed to counteract gravity at cosmological scales.
Your theory is analogous to saying that we don’t need to invoke gravity to explain why the earth doesn’t spiral into the sun, because it could just be explained with solar photon pressure.