I have personally witnessed a case where such request was made with rationale that it would be a personal security risk to the owner of a social media profile, and the specific profile page was "excluded from the Wayback Machine" when I later tested it. I cannot provide more information however due to privacy concerns of that case, but know that in that case at least, it is possible.

I have personally witnessed a case where such request was made with rationale that it would be a personal security risk to the owner of a social media profile, and the specific profile page was "excluded from the Wayback Machine" when I later tested it, and I am certain it had been archived earlier. I cannot provide more information however due to privacy concerns of that case, but know that in that case at least, there is precedent.