Just got my Override today. The head snaps into place facing forward on mine as well. It's not a strong enough effect to prevent having her look just off center or anything, but it definitely wants to center itself if you don't override it.
No QC issues on mine of any sort. No lean to the head, no floppy joints, etc. My only complaint is about how the gun handle is too short to properly seat itself in her hand. I wonder if the plastic at the back of the gun that collides with her arm was a late addition to strengthen it for some reason, or if the TT engineering team just screwed up that badly with the post length.