As far as I can tell it is possible for a queue family to support presenting to the screen but not support graphics. Say I have a queue family that supports both graphics and presenting, and another queue family that only supports presenting. Should I use the first queue family for both processes or should I delegate the first to graphics and the latter to presenting? Or would there be no noticeable difference between these two approaches?
No such HW exists, so best approach is no approach. If you want to be really nice, you can handle the separate present queue family case with expending minimal brain-power on it. Though you have no way to test it on real HW that needs it. So I would say abort with a nice error message would be as adequate, until you can get your hands on actual HW that does it.
I think there is bit of a design error here on Khronoses part. Separate present queue does look like a more explicit way. But then, present op itself is not a queue operation, so the driver can use whatever it wants anyway. Also separate present requires extra semaphore, and Queue Family Ownership Transfer (or VK_SHARING_MODE_CONCURRENT resource). The history went the way that no driver is so extremist to report a separate present queue. So I made KhronosGroup/Vulkan-Docs#1234.
For rough notion of what happens at vkQueuePresentKHR, you can inspect Mesa code: https://github.com/mesa3d/mesa/blob/bf3c9d27706dc2362b81aad12eec1f7e48e53ddd/src/vulkan/wsi/wsi_common.c#L1120-L1232. There's probably no monkey business there using the queue you provided except waiting on your semaphore, or at most making a blit of the image. If you (voluntarily) want to use separate present queue, you need to measure and whitelist it only for drivers (and probably other influences) it actually helps (if any such exist, and if it is even worth your time).