This got strong "rise and grind guys thinking about life hack" vibes pretty quickly. Be serious, who's hiring at that rate currently?!
I see whiteboard interviews as an answer to disputes over opinionated tooling. It's just a pen, a blank canvas, and natural language to communicate. There's probably just pseudocode, no IDEs and zero runtimes.
Bringing "AI teammates" into the mix reintroduces some disputes: Candidates would lack the experience to get around your tool and trigger the right responses. Different LLMs have different "characters". As an engineer you'd want to pick the best tool for the job, and no engineer would like be stuck with your choice. It's usually an effort to figure out and setup such a tool for each distinct project.
Besides that, even technical interviews have the social component to rule out any "cultural" differences within the team. I really doubt that good technical leaders could take that much value out of an AI assessment to just skip any in-person step of the interview.