This is an important question to ask when looking to purchase a specific device. Some smart home technology has offline functionality, but others will offer app controls without Internet. For example, the Arlo Q cameras have an SD card, so they can continue recording footage even if the Internet isn’t working. There are also devices with battery backup in case your power is out.
If your smart home technology has no SD card or battery backup, you are likely looking at gadgets that will not work in the app if the Internet or power are out. Note that the gadgets will still work manually, but you just might not be able to control them with your phone. Rachio will still turn the sprinklers on, LIFX will still light up, Schlage Connect will still open with the code, and Haiku can still be controlled with a remote.
Internet and power outages are usually more rare, but it’s important to point this out as a potential drawback for using devices connected to the Internet.