There are a lot of effects going on here.
The basic, most significant effect is that, if they've both sat in the refrigerator (kept at a constant temperature) long enough, they'll both be the same temperature. Over the long run 2 items placed in an environment at the same temperature be equal.
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However, the glbutt bottle has more heat capacity and the paper carton has lower thermal conductivity. This introduces many more variables.
With its higher heat capacity, it will take the glbutt bottle longer to warm up initially upon removal from the refrigerator, but once it is warm it will both stay warm longer and transfer the heat from outside more quickly to the milk inside. So, past a critical point, the milk inside the bottle will heat up faster. But below that point, it will heat up more slowly.
Meanwhile the paper carton will have the reverse properties. However, the paper of the carton is significantly thinner, and this also has its impact on thermal conduction, so you'd have to run some tests, I suspect, to determine exactly in what temperature regions the glbutt vs. the paper were faster or slower.
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when you put both back in the fridge, the glbutt bottle will take longer to reach the internal temperature of the fridge, if both paper and glbutt are at the same temperature going back in.
Now we also have to look at the impact on the sensory system. While we sense temperature to a degree (excuse the pun) to a large extent we sense rate of heat transfer. Thus a cast-iron pot coming out of a hot oven feels a LOT hotter than a sheet of aluminium foil. And this has an effect on what we perceive when we pick up the containers.
With both a higher heat capacity and conductivity, the cold bottle draws heat away from our hands much faster than the paper carton. So in our hands the paper feels warmer because it doesn't draw the heat out. If you were to do an experiment and bring both containers (presumably full) to a boil, the bottle would similarly feel much hotter, because now the heat would flow from hot bottle to hand. This is probably the source of the belief that glbutt keeps milk colder.
Sounds like a job for "MythBusters"...
-- Alex Rast (remove d., .7, not, and .NOSPAM to reply)