I'm shit at math, but probably not? If both contain the same amount of liquid, are filled to the same point and both are round (which they are lol), I don't see how those would require more material.
And even if, if they double the price per can, it's absolutely worth it.
I found this same thought on this same post a year ago. Someone already crunched the numbers and it seems with the volume constant but height growing, the surface area increases
To illustrate, imagine if we kept getting taller and taller - like trying to fit the same volume of soda in a pencil-thin can that's about a meter long.
You use more and more aluminum the further away it gets from the minimum surface-area-to-volume container, which would be a sphere