I wonder if the video she had to loose weight for was the other chick. Because they also didn't release that and it was about the time when she was like 18. If so that would mean there could be two videos Blackground said she was too fat for.
If you look at the behind the scenes video for TOC she was insanely skinny. and they had her wearing a crop top. She wasn't even fat her abs were crazy in that video