Evolution cards allow your to complete programs that can only be completed grinding online only activities.
It didn't appear to me that the Evolution programs required online play. The Eckersley one, for example, had the diamond reward at 50 points. Stage 1, which is all moments, gives 30 points. Stage 2 has a few options. There's an online mission for 10 points, an offline mission for 10, an exchange for 10, or a set of moments for 10. So the online mission is not required for 50.
Yup, that is what I saw. The only online only I could see was prestige.