I can't see any log line for 'NetStockListMetadata' which has no correspondence for 'NetStockListData'. On the contrary, there is one line which is only for the Data Adapter, namely
27-Fev-08 15:09:01,814 |INFO |mote.request_reply.NotifyReceiver|ockListData Notify Receiver|Notify receiver 'NetStockListData' starting...
which is correct, as the Notify Receiver is related to the updates flow.
The Data Adapter constructor on the Remote Server is invoked only once in the initialization phase. After the webclient connection, however, you were supposed to receive "Subscribe" calls.
To investigate this, you should first ensure that the webclient-server communication works correctly. This is not shown on your log snippet. May you please check this on the subsequent part of the log?
