>The website wants to connect to another computer|another app on your computer.
"website wants to connect to another computer" basically describes all websites. Do you really expect the average user to understand the difference? The exploit is also non-trivial either. SDP and TURN aren't privacy risks in and of themselves. They only pose risks when the server is set to localhost and with a cooperating app.
Pardon my ignorance, but modern browsers won't even load assets or iframes over plain http within an SSL page. So under normal circumstances you cannot open so much as an iframe to "localhost" from an https url unless you've configured https locally. Regardless of crossdomain perms. Wouldn't you want to require a special security permission from an app that was trying to setup a local server, AND require confirmation from a browser that was trying to connect to a local server?