I have regularly installed XFCE4, Mate, Cinnamon, Enlightenment and even more rarely installed KDE Desktop Environments. Of all of the above, only Mate has given me any trouble - only when I tried to remove it. And that was Minor.
I installed Unity once - and vowed to never do that again. I had no trouble removing it (And did so with enthusiasm); it was operating it that was the trouble.
...So... Compiz should work on Unity. But given your comments in the other thread and your comments here: I would surmise that your Unity D.E. installation is broken.
You have a couple of options; Remove Unity and try a different Desktop or try to repair Unity.
Repair:
Open Software & Updates
and on the first tab, Zorin Software, click the drop down menu for Download from:
and select Main Server
. Then close it.
In terminal please run:
sudo apt-get update --fix-missing
sudo apt install --reinstall zorin-os-desktop
sudo apt install --reinstall ubuntu-unity-desktop
sudo dpkg --configure -a
Remove:
If you want to just remove Unity and try a different D.E. (Included terminal commands for Repair of Zorin OS Desktop, just in case);
sudo apt remove --purge ubuntu-unity-desktop
sudo apt-get update --fix-missing
sudo apt install --reinstall zorin-os-desktop
sudo dpkg --configure -a
Once complete, restart your computer and you can choose a different D.E. to install if you like.
sudo apt install xfce4
or
sudo apt install cinnamon-common
sudo apt install cinnamon-desktop-environment
Or
sudo apt install ubuntu-mate-desktop
and so on.