The carrot is just the stick by other means.
The enticing value of an carrot depends on the one-being-enticed’s lack of that carrot. They don’t yet have the carrot that they want. Why do they not already have the carrot? The stick.
Black, Bob. n.d. “The Abolition of Work.” The Anarchist Library. Accessed March 13, 2022. https://theanarchistlibrary.org/library/bob-black-the-abolition-of-work.