If I understand well, after 13:05:05, the client performs polling requests that get a 200 answer,
but you can't find any corresponding log on the server side
and the client receives no data.

This has no explaination. In order to investigate on this, we would need some details, which means:
  • the full Server log after 13:05:05;
    note that not all bind_session requests are logged by default, but you can have all of them logged (in a test environment) by setting the LightstreamerLogger.requests.polling category to INFO level.
  • a concrete evidence of the successful responses got by the client;
    did you find them through a packet sniffing?