Title text:
It's important for devices to have internet connectivity so the manufacturer can patch remote exploits.
Transcript:
[A store salesman, Hairy, is showing Cueball a dehumidifier, with a "SALE" label on it. Several other unidentified devices, possibly other dehumidifier models, are shown in the store as well.]
Salesman: This dehumidifier model features built-in WiFi for remote updates.
Cueball: Great! That will be really useful if they discover a new kind of water.
Source: https://xkcd.com/3109/
Any decent heating system will have a thermostat which will activate the heating when it's getting cold. Also no need for internet to be able to setup the time when electricity is cheaper. It's not like it's something you need to do regularly. Setting this all up directly on the heating system works well enough.
With day ahead pricing it changes... Daily.