CX has opted for inflight email as its starting point. The next will be Instant Messenger followed by Internet if they find critical mass number of pax using the system.
For now, you should be pleased that they do offer some form of connectivity and I have to say that I am very pleased that I am able to connect whilst inflight.
Try finding inflight connectivity on other airlines at the moment? Do appreciate that CX has taken some intiative in providing the Tenzing inflight email service.
If you want to see Internet onboard CX flights, then provide your feedback to CX or Tenzing and if might listen to you.