CODB. I watched the whole video and they mentioned their "heated" conversation with the provider. Phone providers couldn't care less. However, if your provider allows you to register an answer to your security questions, do not use real information.
"What high school did you go to?" should never be your real high school. "Klingon Bird Of Prey Academy" or "Hogwarts School of Witchcraft and Alcoholism" are better choices. (Don't hack me) ;)
Get creative and use your password manager to store your odd replies.