I think code design can often cover just as much as actual code anyway. Just describe to me how your solve it, the interfaces you'd use, and how you'd show me you solved it.

As an interviewee it's insane to me how many jobs I have not gotten because of some arbitrary coding problem. I can confidently say after having worked in this field for over a decade and at a FAANG that I am a very capable programmer. I am considered one of the best on every team I've been on. So they are definitely selecting the wrong people IMO.