I’d say yes and no.
Yes, these are the problems that cannot be solved perfectly.
No, because in such areas any ‘reasonable’ filter is better than nothing. People say that these assignments don’t have anything with reality, but, well, we don’t have months to try to work with each other, we only have 3x1h.
I worked as individual contributor for years, but also had a chance to try a hiring manager role for the past 3 years a lot. We do standard leetcode-style interview (without hardcore) + system design. And I always consider both as a starter and bite to see how the candidate behaves; talks; do they ask questions to clarify something and how. And I always try to help if I see that candidate is stuck. By the end of all interviews you will have some signal, not a comprehensive personality profile. Do we do mistakes? I’m pretty sure, yes. But I think it just works statistically.