Links is certainly an interesting tool, but you certainly shouldn't look at it as the only "niche" way in which people might read your website.

This is Windows 7, with the latest version of Chrome - the only difference from "normal" being the installation of ScriptSafe blocking JavaScript:

http://i.imgur.com/vH4MTdV.png

I use w3m every day for a couple of reasons. May be the minority but the only reason w3m would stop working well with most sites is that we have forsaken our semantic heritage that the web was built on.

In case the name is not clear: It's not a link-finding tool, it's a text-mode web browser, a cousin of lynx.

See also: w3m.