His problem is not the animation repeating itself (unless you were specifically referring to my post in that thread), it's the fact that the projectiles actually disappear, as in you can't see artillery firing shells or rangers' muzzle blasts anymore, as described in this thread by me:
http://forums.civfanatics.com/showthread.php?t=536811
A Firaxis employee said they would look into the problem. Seems that we can only hope for a fix now.
EDIT: The funnier part is that this bug has existed for quite some time.
https://www.youtube.com/watch?v=R7puJXHMx6w: This is the Discovery trailer for Civ Beyond Earth. If you look closely at the Purity Devastator at about 1:12 you can see that when it fires, the little red balls it normally fires are missing, and the red blasts where the shells would land are also missing (there's just some dirt being kicked up instead). It's definitely a game bug at this point, and it's happened in front of Firaxis employees without them even noticing. Unfortunately, since I like watching the combat animations, I did happen to notice.