The point about a cold pool, whatever its origin, is that the air is cold
over a considerable depth. The effect of this is to enhance any convection
that may occur. In summer, possibly thunderstorms, in winter maybe snow
showers. In winter low surface temperatures can occur (in a High) with no
trace of a cold pool anywhere near, due to a strong surface inversion, even by
day.

Tudor Hughes, Warlingham, Surrey.