How much difference will smart meters make to time-of-use by UK domestic consumers?

Today Smart Energy GB kindly sent me some copies of the above leaflet.
How much difference will the type of smart meter now being rolled out across UK actually make?
The suppliers have successfuly lobbied for them to focus on ease of billing. In theory they will also make switching supplier easier.
But there is no mention on the leaflet of the value to all of us of time-shifting consumption away from the peak.
Until we raise public awareness of how much we will all save when we get round to doing it, what is the point of the taxpayer spending £350 on each smart meter?