Thanks, guys! (and gals?)
Worked like a charm.
iOS 6.0.2 had worse WiFi performance than 6.0.1. iOS 6.0.2 showed WiFi connection (after I moved out of the range and returned to WiFi range), but there was no actual WiFi connection!!!
At least with 6.0.1 when it indicated WiFi connection, there actually was WiFi connection.
I think Apple is playing hide-and-seek by indicating WiFi connection even though there isn't. A$$ holes!