I'm sorry James, but I must pick you up on that. Space isn't curved. See this Baez article: "Note: not the curvature of space, but of spacetime. The distinction is crucial". The two ways of looking at the same effect are inhomogeneous space ≡ curved spacetime, as per this paper. Sorry if that sounds nitpicky, but IMHO it is very important. You could. That's like looking at the bowling ball analogy from the top. But you can derive the bowling ball analogy from the equatorial-slice light clocks. This is pretty much the "given" explanation provided by modern texts. What I'm essentially saying is this: that given explanation isn't in line with Einstein or the evidence. And it's wrong. And an easy way to understand that is that it's merely a curvature in your plot of equatorial-slice light-clock rates. A curvature in your plot of the speed of light.