We began experiencing a similar issue today. Our flex viewers work inside the network, but on some machines outside the network, they are getting Error 2032. We did try testing it on a machine outside our network, running an earlier version of Flash Player and still got the error. Using fiddler, it seemed to be failing at the textLayout_2.0.232.swz. I don't have the actual text on hand, but it had something to do with the SecureClientPipeDirect failing.
Lindsey, for what it's worth, I get the error for your viewer when I open it in IE, but am able to access the application in Chrome and Firefox.