As my ability with each civ is pretty much identical, I vote YEA on Random. Often, in games vs. my friends, we will "roll up" completely random settings, making for some highly amusing combinations.
In in the past week, including the APC/Forum party, I have played Random civ games six times by my count: 1 Assy, 1 Egypt, 1 Choson, and THREE Carth!!! ARGH! So, yes, my love for Random has been soured, somewhat.
Still, I think others enjoy the unknown, the unplanned, the purely Random - right, Kurtiebird?