This is true. Those installations are a bore hole for the pipe size and (I assume) sealed at the top. Air would never get the chance to circulate "down there".
As to whether ice could actually form at the bottom of an open shaft, also note the chimney effect, whereas cold air flows down close to the walls and hot air rises up the center of the shaft, making a constant air circulation.
Ice there year round? Nah.
Ice never there? Nah.
Ice there if you cover the hole? Nah.
Also, mea culpa. Don't know where I got the idea OI is about 10 degrees cooler than NS, nothing supports that.
Expect a 4 foot foundation requirement in order to be below the frost line.
Then look up specific area building codes.
I posted a lot about well digging prior. Likely on one of your posts.
Burning paper used to reduce gas in a hole has been done.
Fire in an occupied well sized hole?
A. It would consume already reduced oxygen you'd want in order to breath.
B. What would your recourse be if you caught fire?
C. What if a tunnels frozen walls are too wet a clay or other saturated substrate when dug frozen and you then add more fire?
Well pits zone 5. Do they freeze?
New zoning doesn't allow them in my area. But I used more than one. And don't recall one freezing.
A line to house or in an unheated house? or exposed somewhere above ground? Sure.
And clearing the snow off and driving on an area enough can gain more frost depth.
Still , a 48 inch foundation rule remains in order to prevent frost heave.
Now lets add frost heave and spring temp changes to your frozen hole bottom theory.
Now you're cracking the unshored walls.
One thing mentioned in the prior well digging is the impact (literally) of falling objects when in a deep hole. Now we have crumling walls above us?
Or do you know something unique that prevents suck? Besides alleged smoke stains.