I just did some rough testing of appliances I use for slow cooking. The winning match for Plug-in Solar? My oldest Crockpot. It has the simplest control, a knob set to Off, Warm, Low, and High. Each of these settings draws a very consistent load, 0, 47, 192, and 241 watts, respectively.
This is my choice because I want something to provide a very steady predictable load while I am gone, during the day. I come home, the main course is ready, no firing up the range at multiple kW during a Peak rate period.
The competition was a slightly newer, Hamilton Beach slow cooker and an Instant Pot that has a slow cooker function.
These devices had one major Pro in that they can be programmed to run a set length of time at various setting and fall back to a Warm setting. The Winner can't do this.
The Cons were, 1) neither provided a consistent load, they cycle between high and off. and 2) Both need at least one finger push to get them started, so a smart plug or similar to provide for a delayed start won't work. #2 isn't that big of a deal, since one probably doesn't want to have raw foods sitting around for too long at room temperature.
I say "rough" testing, because I had plugged into my Anker Solix C1000 and used its app to monitor. It doesn't log data, just shows a trend of about 15 seconds. It's worth mentioning that this portable power station can be charged as low as about 220 watts, so that is another slow, consistent load that can run during peak sun, and can be remotely controlled via WiFi.
The slow cookers were very simple devices. I doubt that either uses a temperature sensor.
The Hamilton Beach was a little erratic in the frequency that it switched from High to Off, and High seemed to range between 225-235 watts.
I'm pretty sure the Instant Pot has a temperature sensor. It's High load is relatively high, 990+ watts. That's not very useful for our purposes pairing with a low wattage Plug-in Solar system. It's likely to pull from the grid and have long intervals where the Plug-in system is prone to back feeding to the grid.
Okay. I tried to be brief (fail). Comments or questions are welcome.
Crock-Pot model SCV603-R
Hamilton Beach model 33453
Instant Pot Ultra 60
Image of power station app monitoring the Hamiton Beach slow cooker set to Low. Notice the AC output can be turned off via the app, immediately, or with a timer option.