Sort of, but the same sort of thinking is involved in both at a fundamental level. Most of the coefficients in a QFT expansion can almost be guessed by just con

Sort of, but the same sort of thinking is involved in both at a fundamental level. Most of the coefficients in a QFT expansion can almost be guessed by just considering dimensional analysis. Like the "force laws" of those two theories derive from the dimensionality of space time, the symmetry group involved (which is itself just an irreducible representation of rotations in the spacetime) and then some details having to do with symmetry breaking and the fact that gluons carry charge. Not that all of that is simple, but it doesn't invalidate the logic which gives us the 1/r^2 force law in the classical regimes of gravity and E&M.