I agree with you about other filtering being critical and more appropriate. I understand Apple made a good feature. I don't actually know if it will have a negative side effect. I do think it is a good idea to examine the feature critically due to the scale of Apple and the trust its users place in the company to protect them from harm. I also do not think the title of this article is very reasonable bc it insinuates something sinister.
You could actually implement such functionality with current LLMs. Even one small enough to run on a phone.
But you can't implement it well enough to be trustworthy. It will make mistakes, and people will quickly stop trusting it. Even if it was as good as a true human assistant (which it's not), humans still make mistakes. We have a tendency to be forgiving of the mistakes that humans make, but we expecit AI to be near perfect and will judge it far more harshly... Hell, just look at how people are blaming it for summarizing a phishing scam.
This is before you even consider the potential of prompt injection attacks. If you give the LLM the power to delete emails, it will be vulnerable to people sending emails telling it to delete emails. A job applicant might be able to tell apple intelligence to delete all other applications.