What about bone conduction headphones (like Shokz) typically used for swimming and running?

I have had my hearing tested at an audiologist. My hearing curves are identical with air conduction and bone conduction. There are very few cases where bone conduction might be better, like when something is obstructing air conduction. But with most people, bone conduction headphones will not help. I have been a regular user of Shokz for around 4 years now. They have other advantages (and disadvantages).

My anecdata for that is that they're all universally a bit rubbish. They're good for maintaining situational awareness but bad at musical quality or for communication in high ambient noise (like a loud room or restaurant).