How? By:
LYNX is a good line mode browser IF you are using the Unix or VMS version of Lynx, but it doesn't provide all the functionality (features, updated HTML support) of current GUI browsers.
THE issue is NOT that they aren't accessible via screen readers, but rather they are missing some of the required code to allow screen reader apps to smoothly navigate, render, and translate the incoming data stream.
Example: I'm low-vision and deaf. Turn on screen magnification, captioning, and visual cues for all auditory messages
There are no implied "user profile" mechanisms that allow a server to understand that a user wants to view data a specific way (this is a mix between server/browser issue)