I suspect plastic containers for carbonated drinks are made stronger (and therefore thicker) than for still water, due to the higher pressure of the contents.
Subjectively, therefore, a container of soda water picked up might not feel so cold to the touch because the packaging is a slightly better insulator. And it might also not cool as quickly for the same reason.
However, if enough time is allowed to reach stability, and the temperatures of the fluids themselves are measured by instrument, and they were on the same level in the fridge, then they have to be equal. Otherwise, you got yourself a perpetual source of energy.