Revert of Revert "The new animations engine doesn't need to use StyleChangeFromRenderer" (https://codereview.chromium.org/161633003/)

Reason for revert:
Change was merged, but no longer required at head.

Original issue's description:
> Revert "The new animations engine doesn't need to use StyleChangeFromRenderer"
> 
> This reverts commit r165485[1]. This is needed to land and verify a fix[2]
> for bug 332024.
> 
> [1] https://src.chromium.org/viewvc/blink?view=rev&revision=165485
> [2] https://codereview.chromium.org/130563011/
> 
> BUG=332024
> 
> Committed: https://src.chromium.org/viewvc/blink?view=rev&revision=167057

TBR=esprehn@chromium.org
BUG=332024

Review URL: https://codereview.chromium.org/169363003

git-svn-id: svn://svn.chromium.org/blink/trunk@167301 bbb929c8-8fbe-4397-9dbb-9b2b20218538