In most situations, you can monitor your refrigerator or freezer using an Emporia Smart Plug without issue. The main consideration is to make sure the appliance 's power draw is within the Smart Plug's limitations (link below).
As with all smart home appliances, our devices may experience odd behavior at times due to the device resetting, updating firmware, etc. If you're managing appliance usage remotely and you're not on location every day (such as for your vacation, beach or rental house), it may be possible for the Smart Plug to be turned off on accident without being notified or otherwise alerted on your side. In these situations, we recommend caution to ensure you don't lose power to any critical loads where such a loss of power could cause problems or monetary damages.
So as long as you can physically access the plug to reset it or reconnect it to the WiFi, there is should be no problem.