Been thinking way too much bout this so here it goes.
The other issue here - which might be the reason why she thew a fit during the CBS interview was prior to production, she told CBS no questions about their relationship. They asked anyway which I bet in her eyes was a lack of respect for her professional role in BB, Inc.
So possibly her interruption wasn't born from a lack of confidence in BB's response but more about asserting herself professionally.
The problem is she doesn't have the credentials, education, sophistication and experience in this role to demand respect. Shes demanding it and going about it in every wrong way possible.
The problem is she totally made a spectacle of herself for all the wrong reasons and it backfired on her and BB.