Pros: Soft, beautiful, breathable
Cons: Learning curve for wovens
I'm still not a wrap expert (having taken a break between babies didn't help!), but I adore the Didy. The learning curve with wovens is definitely bigger than some other types of carriers, but they also have extraordinary versatility once you get the hang of it. The only other negative with the Waves is that they are easy to snag, but that doesn't cause any safety issues, only cosmetic.
The Waves material is lightweight and breathable while still being supportive. This is my DH wearing our DS3 at about 4mo.