The principal reason devices need to be connected is so that business can hold your devices ransom and charge you money to use them.
Turn on lights with a phone? No need for Internet.
Open doors with a fingerprint? No need for Internet.
An auto-adjusting energy-saving thermostat? No need for Internet.
A fridge that knows the milk is low? No need for Internet.
Charge people money to use their toaster? You need the Internet for that.