Marble has better synergy with a standard bulb to Lib, Cuirs rush strategy.
As you follow the Aesthetics -> Literature -> Music path, you get discounts on the Great Library & National Epic. Plus the Parthenon, if you can spare the production. Not to mention the Heroic Epic if you've got access to it. You can also build the MoM to get a better Golden Age from your Music GA if you can pick up Calendar. You need Nationalism to be able to Lib Military Tradition, so you get a production boost on the Taj for another 8/12 turn Golden Age.
Stone, you can go for the Mids. Can be hugely useful, but that's about it. I guess on Deity, stone in the capital makes building the GW a consideration? Sucks for most civs to have to tech Masonry & TW at such an early stage though. For the early wonders, having stone or marble isn't always a benefit because you have to hook them up. I've built the Oracle plenty of times without even hooking up marble in my cap's BFC.