Would this software actually have access to that information? I can imagine it would be protected by the OS because on paper, it shouldn't matter what port a device is connected to.

Second, as a user you shouldn't need to make the distinction; yeet a screen into any port and I'd expect it to know what screen it is and what settings to apply to it. There's also the case of using a multiport adapter, or a chain of them if you're sadistic.