There are a few parts when adding a Smart Plug.
If you add a smart plug to a device that has had no parts detected, you just add it and name it and call it a day.
If you add a Smart Plug to a device that has already been detected, or partially detected, as part of the setup process, the app should ask you “what is plugged in” and you can check he box, or boxes of any devices that are now behind your smart plug.
So in your case, you have your mystery device (Not Dishwasher). You may not know what component it is in the fridge, but you know its the fridge. When you add the smart plug, you will check the box to tell sense that “Not Dishwasher” is plugged into the HS110. You can then rename the plug to “Kitchen Fridge” or whatever.
Going forward, Sense will stop trying to detect components on power that is reported by the HS110. So an appliance bulb, compressor, ice maker etc… will all appear as “Kitchen Fridge”. Sense will NOT continue to search for the individual components of the device.
Does that answer the question or clear anything up?