Of course. I lost a game where my wings pwned the statue because the animation took around 10 seconds, during which I lagged out. I mean, I don't see the point. At least make the animation toggleable or smoother and more realistic.
I lost while my opponent's statue was being destroyed during animation... Curse you, exploiteh!!! Anyway, I think there shouldn't be this animation. It should be like the first stick wars with units wreaking the statue even when it's destroyed.