Is there any way to make this feature work? Do any current routers even support Easy Connect?
Well, yes and yes, to answer my own questions. After finding that my Win7 laptop would begin the Easy Connect process successfully, I determined to dig around and look for any configuration differences between it and my balky desktop.
Network and Sharing Center > Change advanced sharing options (on left pane) > Public > Public folder sharing --on the laptop Turn on sharing so anyone...... was checked. On my desktop Turn off Public folder sharing was checked instead. After changing that one setting on the desktop, magically Easy Connect began working--my desktop will now find the "peer-to-peer network" when trying the Easy Connect option. I was easily able to use my laptop to "request" RA help from my desktop via Easy Connect, and vice versa. Would not work before. I have not been able to try a RA session to another computer across the net and behind its own router yet, but I suspect it will work now provided the other computer and router have appropriate settings.
Edit: And, I can say that a D-Link DIR628 does work with Easy Connect, so most others probably do to, since that D-Link isn't anything special.