I believe that this is how it works, unfortunately:
I had an 8120 on o2. WiFi worked on any system to which I could register, irrespective as to whether I had my cellular network on or off. It even worked when roaming even though I had specified data off when roaming.
When I put in an Orange SIM it would not work on WiFi at all. I then signed up for the Orange BlackBerry data pack and suddenly my 8120 worked in exactly the same manner that it had on o2.
Long story short: I guess you need a BB data package to get WiFi.
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