I agree with the premise, but I don't agree with the generalization. The non-bonded electron can and do interact with neighboring pi electrons. However, they don't interact to the same extent for all atoms. The electrons of a nitrogen can interact much more strongly than those of a vinyl chloride. Enamines can react with a variety of electrophiles to give new carbon adducts. Enol ethers also interact, but not to the same extent. Hydrolysis of an enol ether occurs with protonation occurring on carbon. I don't know whether this is a thermodynamic result and possibly a faster O-protonation occurs, but is reversible. Since the electrons of a chlorine are held much more tightly (making HCl a strong acid), I would expect it would be more difficult to see them react, at least they will be less reactive.