I am a small room but no life lives inside, no matter what weather looms, very cold my residents reside. What am I?

“A freezer”

While a freezer is also a cold compartment, it is specifically designed to freeze items and is usually a part of a fridge. The riddle refers to a small room, which more accurately describes the entire fridge.

“An icebox”

An icebox is an older term for a refrigeration device, but it does not fit the description of a 'small room.' The riddle implies a more modern concept of a fridge, which is enclosed and designed specifically for food preservation.

“A cold storage room”

A cold storage room is typically larger and used for bulk storage of perishable goods. The riddle specifically mentions a 'small room,' which aligns more with the size of a fridge rather than a cold storage facility.