Certainly they need to advertise any applicable data charges or limits. But why would you want a burst line instead of a data limit? I don't see the advantage, at least not for normal usage patterns. What most people want is full speed when they are using the internet, without being charged for full speed 24/7.
Theoretically I suppose if you were sent unsolicited packets this would run up your meter, but AFAIK this has never become a problem in New Zealand.
Of course, most people don't want to risk being faced with an unexpectedly large bill, which is why most ISPs in New Zealand offer capped plans: instead of paying extra when you hit your limit, your bandwidth gets cut down.