No, threads tend to be:

   while( connection = accept_connection ){
       in_thread_run(handle_connection, connection)
   }

That is event-driven code. A typical accept_connection only returns after receiving a connection event. The I/O code in handle_connection blocks until the event that data can be read/written. The event handling just happens in the OS instead of in userspace with poll/select/etc.

Eh? If you reason that way then all I/O code is evented and that makes the discussion meaningless. Event-styled code doesn't have anything that blocks except the event loop I/O multiplexer and everything returns to the event loop ASAP.