I believe their point is that it is possible to consume over a gallon of {liquid} per day, and as someone who used to drink unhealthy amounts of soda, I promise it is possible to do it with even sugary, fizzy beverages let alone tea. Caffeine also has addictive properties which can override rational thoughts.
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A gallon of water. Not a gallon of Earl Grey tea…
(I do agree that the parent's Arizona might not be quite comparable, given the sugar content in those drinks.)
I believe their point is that it is possible to consume over a gallon of {liquid} per day, and as someone who used to drink unhealthy amounts of soda, I promise it is possible to do it with even sugary, fizzy beverages let alone tea. Caffeine also has addictive properties which can override rational thoughts.