Personally, as a customer, I simply wouldn't take part in an automated interview. As a business, I wouldn't do them in part because I don't want to chase people off and in part because I wouldn't trust the LLM to do it properly.
In the absence of some sort of really compelling reason to, no I wouldn't. It would signal to me that the company doesn't actually value me enough to treat me as a person. Also, I'm not interested in having a "conversation" with a machine, but that's more of a personal preference sort of deal.