Audioguru,
I considered the pot's effect, and decided (subjectively) that the equaliser wouldn't suffer much from the 5k output impedance of the volume control. You are right though, there would be attenuation, and shift of band freqencies. I haven't figured out how much.
I made an assumption - that the supply was a single 9V battery. The original design would be OK if supplied from dual rails. I assume that there is only a single supply because of the 0V centre point being derived from 2 resistors. The ground symbol is visible in all three circuits, and my guess is that Jesus's circuit doesn't work because he's connected them all together. That is sure to break the preamp because of the fake ground.
My design is to address the single supply issue, remove any ambiguity regarding ground points, and provide 1M input impedance, all with a single op-amp. Perfection, as you state, would require another op-amp to buffer the output from the volume pot.