It feels wrong, yes. But it's something that needs to be answered one way or another. One issue is that even conducting research into the question is anathema, so all we're going to do is argue about it based on a handful of pre-2000 studies with questionable methodologies.

The reason it's important to know, regardless of what the answer is, is that policy should be informed by reality. If we find that general intelligence is 80% genetic, or 40% genetic, or 0% genetic, this would have starkly different impacts on how we choose to educate our children, how we choose to recognize and/or compensate success, etc.