One of the advantages of carbon is that is does not develop a "memory"...think of a paperclip...if you bend it back an forth enough, it will break. Carbon will not do that.
The opposite of this is that you can't "lean" the bike.. a carbon bike will ride a lot differently, especially in the turns.
Not all carbon is the same..for example, Look makes a couple of carbon frames, the 361 and the 381I (the team bike). There's about a thousand (if my memory is decent) dollars difference in the frame cost.
The TCR Elite, Giant's bike is a carbon composite...not a full carbon bike.

Do your research and ride both types, aluminum and carbon, and the one that feels the best is the one to get.

I sell both and typically the customer is coming in to buy a new bike and has an old (like pre-1995 or older) aluminum bike and then they get on the new stuff and cannot believe the feel. Both are good, it's just a feel issue when you can pick either.

Carbon is very strong....Indy car drivers trust their lives to carbon fiber. That's how strong it is....but how it translates to the comfort your rear end will feel riding a bike is up to you.