I looked into it pretty extensively and found you had to have power, either batteries or wired and decided the complications weren't worth it. You can google people's solutions for a suitable electronic thermostats if you want to do it.
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2015 Crossroads Cruiser Aire CAF27RL, 2018 F250 diesel crewcab SRW 4WD short bed, Trailer Saver hitch with Reese adapter on Ford OEM underbed 5th wheel connector.
I have actually done this mod on two of our trailers. The first time I used the hunter thermostat that is listed in your link. This last time I wanted something with a little more control so I used the Honeywell RTHL2310B. Here is a picture of the one in my current unit and a link to installing this thermostat.
The ones I looked at needed power for the light and electronics. Also electronics can fail while the old mechanical ones almost never fail. Mostly I didn't want to fool with the power issues. If you are full time and/or don't mind replacing batteries it would probably be OK. I just didn't see the benefits as worth it. I was mainly interested in the screen light.
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2015 Crossroads Cruiser Aire CAF27RL, 2018 F250 diesel crewcab SRW 4WD short bed, Trailer Saver hitch with Reese adapter on Ford OEM underbed 5th wheel connector.