If my wife's caffeine withdrawal is any indication, you might want to be more concerned about your amount of caffeine intake rather than the sweeteners.
12oz coke zero: 34mg caffeine
12oz brewed coffee: 120-240mg depending on beans and strength
Double shot espresso: 60-180mg
I can easily do 2 12oz brewed or doubles in a day and friends drink much more.
It's very common for people to slippery-slope various drugs, but being a 'raging alcoholic' is incredibly damaging to your health.
I've seen first hand the destructive powers of alcohol, so I may be biased. But I know for a fact that I'm not alone.
(Not sure I even know what a single basket looks like)
I didn't suffer any withdrawals.
However I greatly missed my coffee, so after the year I resumed (sans the energy drinks) and will be having my coffee until the day I die.
Quit alcohol nearly two years ago; that's a habit that can stay gone. Definitely feeling the benefits of ditching even what was a relatively modest consumption.
In a way, diet cokes (Coca Cola No Sugar) are my naughty drinks now - so I can see from this study I should probably limit it somewhat day in-out, and as long as I do it should be ok.
I primarily drink filtered water and filtered Sodastream water for my fluids.