The “standard” fixed tariffs are the same whatever type of meter you have but having a smart meter potentially opens up access to a host of “smart” tariffs that may change hourly or work in conjunction with battery storage.
If you have a significant energy usage that you can “time shift” to off peak periods (like EV charging) you can access tariffs where you off peak rate is one quarter of your peak rate. Combine that with a home battery and you end up never paying peak rate.
Tim