I really haven't listened to either C&A or ROTPOTA(!) enough to say something. Just from the film alone, Cowboys worked just fine. Certainly not HGW's best work, but not Favereu's either.
I did want to note that the CSO performing the score to the first Pirates of the Caribbean to the film says this: "...with score by Klaus Badelt and Hans Zimmer". Makes me smile. That's all.