Wofati = passive climate battery?

Could the bubble of Earth under the plastic around a Wofati be viewed as a passive climate battery?

Yesterday I watched a video about  (building an almost tropical geothermal climate battery Greenhouse)
They go into some detail describing how a climate battery works versus geothermal.

I kept thinking about it..

In the video I don't think that the earth part of the climate battery is in any way separated from the soil around and under the greenhouse. Air is forced via fan into the tubes that go through the battery down below the greenhouse. It is used to provide some cooling during the summer time, but more importantly it is used to keep the greenhouse above freezing during cold weather. It uses an active system, Motors and Technology to move the temperature transfer medium (air) through the tubes to give up heat or collect Heat. It is 'active' .

The Wofati has a water resistant layer over the soil closest to the structure. As well as possibly some slight insulation in the form of protective carpet or other material guarding the waterproofing layer. But that dry soil is still connected to the soil below it.
I thought that I read something about the temperatures in the first wofati (Allerton Abby?) Fluctuating in the first couple of years but then gradually evening out, possibly because the soil Behind the Walls finally 'charged' enough to reach a sort of equilibrium?

I wasn't sure where to ask this question, but when I did a search, this forum had a bunch of mentions. So I figured that asking a bunch of people that are building structures that use these processes would be a good place to start.

If there is another Forum that this should be moved to, please let me know.
Thank you everyone in advance, my brain sometimes chews on stuff and won't give up and I really am curious about the answer to this.

Not to answer the question absolutely, but to give a structure for thinking about it; I'd say that soil storage of heat involves three factors: the heat capacity of the soil (how much thermal energy can be stored per unit of mass), the heat conductivity (how quickly heat will move through a given area of soil under the influence of a temperature difference), and the heat transfer efficiency - how heat in one medium moves to another at a different temperature. The first two properties depend a great deal on the moisture content because water has a relatively high heat capacity and also a high heat conductivity. When one "charges" the heat storage volume with warm air circulation, one may indeed raise the temperature, but also deplete moisture. Thereafter, recovering that heat may be quite less efficient.

If the soil heat conductivity is low due to low moisture, then it is relatively difficult to extract heat - a more intimate contact between soil and piping is needed, so the pipe system becomes quite expensive in one way or another. And of course, this piping is buried and inaccessible. Blowing sometimes warm and sometimes cool air through the pipes may give rise to issues of condensation in the pipes, and associated corrosion. Corrosion is the enemy of good heat transfer because while metal conducts heat well, metal oxides generally do not. Industrial heat exchanger equipment is regularly maintained by various means of cleaning to prevent the accumulation of "scale" or "fouling" on heat exchange tubing.

I have heard of people building Wofatis with "earth storage", but it has always sounded like one of those things that seems good in theory but difficult to achieve. If a wofati design is working well, it is because the earth is serving as good insulation. If it is good insulation, it is poor heat storage. Better to provide some buried water mass for the heat storage than to depend on soil, imho

It seems to me that a Walipini is more of the structure that you are referring to rather than a Wofati.

Did that video not know the difference?

To me, a Wofati structure is a log cabin built in the side of a hill.

https://permies.com/t/33160/permaculture-projects/wofati-cooper-cabin

My understanding of a Walipini is it is a structure used as a greenhouse.

https://permies.com/t/120406/Walipini-underground-greenhouse-geothermal-greenhouse

I am not exactly sure what your question is.

You or others might enjoy this thread:

Geoff Lawton's video shows a nice presentation of earth coupled heating/cooling in a greenhouse.

https://permies.com/t/43078/geoff-lawton/Heating-glasshouse-geo-solar-live

https://www.youtube.com/watch?v=acByGuSMALc

this is the vid

It sounds to me like the buildings John Hait describes in his book "Passive Annual Heat Storage" are similar, if not exactly what you are trying to do.

His book is currently available on archive.org: https://archive.org/details/passive-annual-heat-storage-improving-the-design-of-earth-shelters-john-hait