Linky is an electric meter connected to the grid through PLC but it embeds the required hardware to eventually drive appliances consumption.
It provides a dry contact which can be open or closed remotely via the grid’s PLC. So it can be open or closed even without internet.
You can imagine to use this contact to drive a power line dedicated to your water boiler, electric car …
IIRC, atm, the only provided possibility is to open/close the contact via a web API / a smartphone app. But in the future, it may become controllable by the electricity provider to be automatically opened / closed based on the grid’s state (and the electricity price)