Problem with the ice theory is that the southern ice cap in **the last glacial period** was as large or larger than the northern one.
The flash frozen mammoths is typical of a fast comet fragment strike - the fragment drags a portion of space cold behind it as it descends, bringing outer space temp to the earth’s surface.
Geology affects human history: example Mt Toba eruption 74,000 ya wiped out most hominids as well as most homo sapiens; more recently Mt Vesuvius erupted and buried Pompey.
Geology and Anthropology, and Human History are intertwined and inseparable.
To say that something is "typical" implies that numerous, similar incidents have occurred to which the incident in question may be compared.
Name three.
As for ...drags a portion of space cold behind it, a weather Cold Front brings a MASS of cold air with it and the cold air (low energy) molecules absorb some of the heat energy (molecules in motion) from surrounding warm air and from our hands, faces, etc. Your theory posits a "cold" vacuum with no molecules to be accelerated. Expansion of warm air into a vacuum will cause adiabatic cooling. Infrared radiation from a warm earth occurs through the atmosphere out into space.
Space is "cold" because heat radiates from a warm body. There is no heat loss from Conduction or Convection, only Radiation.
The main problem is that the Kinetic energy of a "fast comet fragment" would be converted into enormous amounts of heat energy.
Meteorite impact caused the highest temperature ever recorded on Earth's surface