This isn't quite a complaint: adopting math and physics PhDs (first as a mentor and now as a TLM) that are seemingly unproductive has been a consistent secret weapon of mine: they're often written off as unproductive, but it's not difficult to turn someone that smart into a solid engineer with a few months of guidance, as long as they're willing to learn. In specific domains, a subset of their actual skills are a good fit (they tend to be great at math), but it just signifies an unfortunate and fairly significant misallocation of resources.