Hmmm. I was thinking it would sound better because the rear speakers would sound clearer running off of an amp than the head unit? That way when I turn it up they will not distort. Is this not the case?
No, crispin is correct. If you do not know how to setup the phasing of all four drivers from the headrest, the best bet is to just run the front ones. Less cancellation through the entire response. Normally, you cannot pinpoint exact frequency modulations from left and right ear during music, unless those frequencies are excited, but if you run sweeps, you will notice as the frequency increases, during certain room modes, the sound will travel from one side to the other very clearly. This is phasing issues and you want to avoid that as much as possible.
It might sound strange at first, but as long as you are not worried of VLF frequencies through your mids, you can configure it purposely out of phase in a push pull configuration, such as a dipole idea, since you actually sit not in the middle of the vehicle, but towards the window, This you will find during a sweep may fix phasing issues and smooth the response in the 180-500Hz range(most noticable phasing issues). Some would disagree, only because it sounds different to them. It actually pressurizes the ears differently, which can cause you to pop them every now and then. But this would only work that I am aware of with all four connected, if you wire the right side out of phase. Less low end, but smoother response because the soundwaves are working with eachother and not against.
Not sure if this works in every vehicle as each one is different, but I know in three of them I have setup, it has worked well. And again, a LOT (and I mean a lot) would not like the way it changes their perceptive hearing, because they are not used to it.