There is no such thing as a "pixel" pipeline, that's just a basic term that could be used to describe a bunch of quite different things. It's really important for you to stop describing architectures in such rough ways. What you describe as pixel pipelines are sometimes very different things...
There is nothing you could really refer to as a "pixel pipeline" in the G7x and R5xx; you had ROPs, ALU pipelines, texturing pipelines, etc. - if you even want to see things in terms of pipelines at all, that is. With these kinds of notions, how would you describe G80 or R600? (hint: you can't...)
There's really no reason to make such statements, with such certainty, if you lack the technical understanding needed to truly understand what you are saying... Anyway, while the practical ratios are not that simple to calculate, it is fairly obvious that the R580 has much higher ALU 'power', but it is with a more expensive to produce chip. From an enthusiast pov, that doesn't matter much if they are sold at similar price points - but it is still worth pondering upon before making statements as bold as yours...