Compiz effects in Unity 2D

Solution 1:

Probably. The goal of Unity 2d is to provide a unity-like desktop to those whose "hardware platforms cannot currently support Unity's OpenGL requirements". Check their wiki page for more info: https://wiki.ubuntu.com/Unity2D.

Solution 2:

As I found out (after reactivating Compiz, compiz --replace), those effects are indeed functional within Unity 2D.