No, it wouldn't. It isn't simply a sight alignment issue, it's the image and the reticle not being on the same plane. Having two separate reticles would not only complicate matters, it wouldn't work in the first place. You'd then need BOTH reticles planes matching up, something that isn't exactly easy.
Read the linked article on exactly what parallax is and maybe you'll understand a bit better what is going on: http://www.6mmbr.com/parallax.html