there is no secret to it. the word "cold" does not designate any particular temperature. January in Minnesota is "cold" at -20F, in Florida "cold" might be 40F.
a "cold" engine is simply one that needs to be choked. but in general a "cold" engine is one at ambient temperature, and a "warm" one at about 160F.
and so, any engine, in general, that has yet to reach about 160F could, repeat COULD, need choking to perform adequately.
with a manual choke, the driver determines how much choke is necessary depending on their experience. automatic chokes, OTOH, are designed to start choking at a given level and reduce that level, eventually to zero, as the engine warms up.