It's as anecdotal and irrelevant as you claiming anyone drinking a gallon of green tea gets sick. Which is a falsehood.
White tea has an incredibly low amount of caffeine. So I am not sure why you are claiming I am addicted to caffeine. If I run out of tea and take 4 or 5 days to order more I don't get headaches or have side effects. So again I don't know what you are basing your statements on.
So your "1 gallon/day" of white tea gets you about the same caffeine content as 1L of black coffee per day, with a total intake of ~320mg of caffeine per day. About 100mg per day of caffeine can cause addiction.
So the odds are that you're a caffeine addict. On the other hand, you might be immune to caffeine or have low sensitivity.
https://www.hopkinsmedicine.org/psychiatry/research/bpru/doc...
Can confirm, I am definitely a caffeine addict. In fact, I switched to tea mostly because I was consuming a ridiculous amount of unneeded calories in sugar and cream in energy drinks and coffee when I mostly just wanted tasty caffeine.
"1 gallon of tea" provides very little information on the amount of tea used.