Sounds like snake oil to me. : )

If you're moving data by radio then you need power to provide the RF path plus a bunch more for the modulation method that is used. This is required, doesn't matter if you're sending nothing down the line or you've maxed out your available bandwidth - effectively there's no difference between these two states when it comes to power consumption since you're randomizing the data stream anyway.

In the case of wifi there is a lot happening behind the scenes in order to establish the link, you can't tear that down and throw it back up again without introducing a noticeable and significant amount of latency.

For always on data, there's absolutely nothing that can be done other than bettering the state of the art in battery technology, or simply figuring out how to work the sand better such that you have less power draining silicon.

You can minimize power drain for things like MMS or push messaging since these things happen fairly infrequently - it's cheaper (power wise) just to listen for your name and then establish a link, but for average internet use like browsing the web, watching video, music, not going to happen. These activities are noisy and bandwidth intensive.

Just my 2 cents : )