I don't necessarily disagree with you about the delta difference and it's potential to be a major factor but once a collar is slapped on and taps run the usage is different. Given the linearly proportional relationship though, it's testable by system. One could just maintain the room temperature reasonably constant and change the temperature settings and record the energy used. Adding a collar and taps though changes the material the heat transfers through and there is a surface area change as well. In my situation, the freezer depth was ~28". I have added on a collar that is 7.5", No more than close to 25% more surface area but there's also the top and bottom unchanged and the hump to consider. Frozen food goes in the keezer but kegs of ale go into keezers. How close the freezer energy usage and the converted to keezer energy usage are is somewhat muddled. Seems a good guess though that the delta is very important.
Well I did some math for ballpark numbers. I don't want to drown people in details but when you are calculating heat transfer through a material there are three thermal resistances you need to calculate. First is the air to material, the material itself, then the material to air on the other side. The air to material interfaces are calculated based on convection, conduction, and/or thermal radiation, and get complicated. I seem to recall from my college classes these resistances are typically fairly low, so for ballpark consideration, you can say there is no thermal resistance at the air to material junction. This assumption would be the worst case scenario anyway.
Using my iPhone 12 to measure my collar (I couldn't find a tape measure, but experience has shown this type of measurement is usually good to within an inch) I calculated my 14 ft^3 kreezer with a 3.5" tall collar has 3.96 ft^2 of surface area. Cellular PVC, which is what I built my collar from, has an R value of ~2.1 per inch (wood is ~1.4), and I have 1.5" (R3.15). Assuming a kreezer temp of 38 and a house temp of 70, this calculates to 5.78 BTU/hr, or 1.7 watts. Over a 30 day month, this is 1.2 kWh, or
15 kWh in a year. About $1.80/year in electricity costs. Since my collar is the dimensions of a 2x4, an uninsulated wood collar of the same size would be 1.5x more than these values.
An inch of extruded polystyrene (R5) added to my PVC collar would bump the total R value to 8, dropping the heat lost to 0.296 watts, or 0.21 kWh/month. This is only
2.6 kWh/year, or about $0.31 at $0.12/kWh.
So, at best I'd save $1.50 a year by slapping an inch of foam on my collar. Is that worth the bother to add? Probably not
for me. If you are getting condensation on a wood collar though insulation would be worth it purely to avoid wood rot and mold issues, but my PVC collar is not bothered by water (which is why I used PVC and not wood). I've also never notice condensation issues on the collar, may be more of an issue for an outdoor kreezer.
Oh, and it just so happens I have a 14 cubic foot chest freezer in use as an actual freezer, bought about 8-9 years ago. The walls aren't quite as thick as my 14 cubic foot kreezer (insulation thickness has gone up over the years), but I stuck my Kill-A-Watt on that just now to compare for giggles.
The thought also just crossed my mind that it probably would have made more sense to use the brand new Frigidaire freezer I built the kreezer out of as my actual freezer, given the thicker walls, and then converted my 9 year old Whirlpool freezer into the kreezer instead. Ah well.